674568000 has 336 divisors, whose sum is σ = 2509625664. Its totient is φ = 179366400.

The previous prime is 674567981. The next prime is 674568049. The reversal of 674568000 is 865476.

674568000 = 160³ + 161³ + ... + 240³.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1943827 + ... + 1944173.

It is an arithmetic number, because the mean of its divisors is an integer number (7469124).

Almost surely, 2^674568000 is an apocalyptic number.

674568000 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 674568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254812832).

674568000 is an abundant number, since it is smaller than the sum of its proper divisors (1835057664).

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

674568000 is an equidigital number, since it uses as much as digits as its factorization.

674568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 674568000 is about 25972.4469390160. The cubic root of 674568000 is about 877.0181443918.

The spelling of 674568000 in words is "six hundred seventy-four million, five hundred sixty-eight thousand".