679064000 has 112 divisors (see below), whose sum is σ = 1740286080. Its totient is φ = 262169600.

The previous prime is 679063999. The next prime is 679064011. The reversal of 679064000 is 460976.

It is a super-2 number, since 2×679064000² = 922255832192000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 230537 + ... + 233463.

Almost surely, 2^679064000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870143040).

679064000 is an abundant number, since it is smaller than the sum of its proper divisors (1061222080).

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

679064000 is a wasteful number, since it uses less digits than its factorization.

679064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 679064000 is about 26058.8564599447. The cubic root of 679064000 is about 878.9622753850.

The spelling of 679064000 in words is "six hundred seventy-nine million, sixty-four thousand".