641292120 has 128 divisors (see below), whose sum is σ = 2443046400. Its totient is φ = 146579328.

The previous prime is 641292107. The next prime is 641292149. The reversal of 641292120 is 21292146.

641292120 is a `hidden beast` number, since 641 + 2 + 9 + 2 + 12 + 0 = 666.

641292120 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 2×641292120² = 822511166348188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34854 + ... + 49973.

It is an arithmetic number, because the mean of its divisors is an integer number (19086300).

Almost surely, 2^641292120 is an apocalyptic number.

641292120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

641292120 is an abundant number, since it is smaller than the sum of its proper divisors (1801754280).

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

641292120 is a wasteful number, since it uses less digits than its factorization.

641292120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84854 (or 84844 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 641292120 is about 25323.7461683693. The cubic root of 641292120 is about 862.3534420167.

The spelling of 641292120 in words is "six hundred forty-one million, two hundred ninety-two thousand, one hundred twenty".