641092320 has 288 divisors, whose sum is σ = 2476656000. Its totient is φ = 155312640.

The previous prime is 641092301. The next prime is 641092337. The reversal of 641092320 is 23290146.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426931 + ... + 428429.

It is an arithmetic number, because the mean of its divisors is an integer number (8599500).

Almost surely, 2^641092320 is an apocalyptic number.

641092320 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 641092320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238328000).

641092320 is an abundant number, since it is smaller than the sum of its proper divisors (1835563680).

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

641092320 is a wasteful number, since it uses less digits than its factorization.

641092320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 641092320 is about 25319.8009470849. The cubic root of 641092320 is about 862.2638748708.

The spelling of 641092320 in words is "six hundred forty-one million, ninety-two thousand, three hundred twenty".