641589120 has 256 divisors, whose sum is σ = 2300140800. Its totient is φ = 169003008.

The previous prime is 641589107. The next prime is 641589133. The reversal of 641589120 is 21985146.

641589120 is a `hidden beast` number, since 64 + 1 + 589 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (641589107) and next prime (641589133).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1848787 + ... + 1849133.

It is an arithmetic number, because the mean of its divisors is an integer number (8984925).

Almost surely, 2^641589120 is an apocalyptic number.

641589120 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 641589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150070400).

641589120 is an abundant number, since it is smaller than the sum of its proper divisors (1658551680).

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

641589120 is a wasteful number, since it uses less digits than its factorization.

641589120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 641589120 is about 25329.6095508794. The cubic root of 641589120 is about 862.4865479944.

The spelling of 641589120 in words is "six hundred forty-one million, five hundred eighty-nine thousand, one hundred twenty".