641285600 has 36 divisors (see below), whose sum is σ = 1565540424. Its totient is φ = 256513920.

The previous prime is 641285599. The next prime is 641285621. The reversal of 641285600 is 6582146.

641285600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×641285600² = 822494441534720000, 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 polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 400004 + ... + 401603.

It is an arithmetic number, because the mean of its divisors is an integer number (43487234).

Almost surely, 2^641285600 is an apocalyptic number.

It is an amenable number.

641285600 is an abundant number, since it is smaller than the sum of its proper divisors (924254824).

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

641285600 is a wasteful number, since it uses less digits than its factorization.

641285600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801627 (or 801614 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 641285600 is about 25323.6174351138. The cubic root of 641285600 is about 862.3505194985.

The spelling of 641285600 in words is "six hundred forty-one million, two hundred eighty-five thousand, six hundred".