674610048 has 576 divisors, whose sum is σ = 2584904400. Its totient is φ = 167215104.

The previous prime is 674610043. The next prime is 674610049. The reversal of 674610048 is 840016476.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 674609994 and 674610021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674610043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18232686 + ... + 18232722.

Almost surely, 2^674610048 is an apocalyptic number.

674610048 is a gapful number since it is divisible by the number (68) 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 674610048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292452200).

674610048 is an abundant number, since it is smaller than the sum of its proper divisors (1910294352).

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

674610048 is a wasteful number, since it uses less digits than its factorization.

674610048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 674610048 is about 25973.2563996123. The cubic root of 674610048 is about 877.0363664701.

The spelling of 674610048 in words is "six hundred seventy-four million, six hundred ten thousand, forty-eight".