674331840 has 672 divisors, whose sum is σ = 2982260736. Its totient is φ = 136028160.

The previous prime is 674331839. The next prime is 674331841. The reversal of 674331840 is 48133476.

It is an interprime number because it is at equal distance from previous prime (674331839) and next prime (674331841).

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 674331795 and 674331804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674331841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8124439 + ... + 8124521.

It is an arithmetic number, because the mean of its divisors is an integer number (4437888).

Almost surely, 2^674331840 is an apocalyptic number.

674331840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 674331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491130368).

674331840 is an abundant number, since it is smaller than the sum of its proper divisors (2307928896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

674331840 is a wasteful number, since it uses less digits than its factorization.

674331840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 674331840 is about 25967.9001846510. The cubic root of 674331840 is about 876.9157871402.

It can be divided in two parts, 6743 and 31840, that added together give a palindrome (38583).

The spelling of 674331840 in words is "six hundred seventy-four million, three hundred thirty-one thousand, eight hundred forty".