621728960 has 56 divisors (see below), whose sum is σ = 1484345520. Its totient is φ = 248044544.

The previous prime is 621728951. The next prime is 621728971. The reversal of 621728960 is 69827126.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131762 + ... + 136398.

It is an arithmetic number, because the mean of its divisors is an integer number (26506170).

Almost surely, 2^621728960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 621728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742172760).

621728960 is an abundant number, since it is smaller than the sum of its proper divisors (862616560).

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

621728960 is a wasteful number, since it uses less digits than its factorization.

621728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5073 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 621728960 is about 24934.4933776486. The cubic root of 621728960 is about 853.4937903560.

The spelling of 621728960 in words is "six hundred twenty-one million, seven hundred twenty-eight thousand, nine hundred sixty".