674634240 has 480 divisors, whose sum is σ = 2757680640. Its totient is φ = 149225472.

The previous prime is 674634223. The next prime is 674634269. The reversal of 674634240 is 42436476.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 674634195 and 674634204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7580116 + ... + 7580204.

It is an arithmetic number, because the mean of its divisors is an integer number (5745168).

Almost surely, 2^674634240 is an apocalyptic number.

674634240 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 674634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378840320).

674634240 is an abundant number, since it is smaller than the sum of its proper divisors (2083046400).

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

674634240 is a wasteful number, since it uses less digits than its factorization.

674634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 674634240 is about 25973.7221052355. The cubic root of 674634240 is about 877.0468500624.

The spelling of 674634240 in words is "six hundred seventy-four million, six hundred thirty-four thousand, two hundred forty".