646580032 has 112 divisors (see below), whose sum is σ = 1586016640. Its totient is φ = 255301632.

The previous prime is 646580029. The next prime is 646580047. The reversal of 646580032 is 230085646.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×646580032² = 836131475562242048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 646580032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313918 + ... + 315970.

Almost surely, 2^646580032 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 646580032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793008320).

646580032 is an abundant number, since it is smaller than the sum of its proper divisors (939436608).

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

646580032 is a wasteful number, since it uses less digits than its factorization.

646580032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 646580032 is about 25427.9380210036. The cubic root of 646580032 is about 864.7171971359.

The spelling of 646580032 in words is "six hundred forty-six million, five hundred eighty thousand, thirty-two".