674593920 has 960 divisors, whose sum is σ = 3252363840. Its totient is φ = 129392640.

The previous prime is 674593837. The next prime is 674593921. The reversal of 674593920 is 29395476.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (674593921) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 51891834 + ... + 51891846.

It is an arithmetic number, because the mean of its divisors is an integer number (3387879).

Almost surely, 2^674593920 is an apocalyptic number.

674593920 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 674593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626181920).

674593920 is an abundant number, since it is smaller than the sum of its proper divisors (2577769920).

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

674593920 is a wasteful number, since it uses less digits than its factorization.

674593920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 674593920 is about 25972.9459245577. The cubic root of 674593920 is about 877.0293772693.

The spelling of 674593920 in words is "six hundred seventy-four million, five hundred ninety-three thousand, nine hundred twenty".