641284920 has 192 divisors, whose sum is σ = 2151152640. Its totient is φ = 165600000.

The previous prime is 641284907. The next prime is 641284921. The reversal of 641284920 is 29482146.

641284920 is a `hidden beast` number, since 641 + 2 + 8 + 4 + 9 + 2 + 0 = 666.

641284920 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 2×641284920² = 822492697238812800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641284921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2554795 + ... + 2555045.

It is an arithmetic number, because the mean of its divisors is an integer number (11203920).

Almost surely, 2^641284920 is an apocalyptic number.

641284920 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 641284920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075576320).

641284920 is an abundant number, since it is smaller than the sum of its proper divisors (1509867720).

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

641284920 is a wasteful number, since it uses less digits than its factorization.

641284920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 641284920 is about 25323.6040089084. The cubic root of 641284920 is about 862.3502146949.

The spelling of 641284920 in words is "six hundred forty-one million, two hundred eighty-four thousand, nine hundred twenty".