621031680 has 432 divisors, whose sum is σ = 2326431744. Its totient is φ = 152616960.

The previous prime is 621031673. The next prime is 621031681. The reversal of 621031680 is 86130126.

621031680 is a `hidden beast` number, since 621 + 0 + 31 + 6 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (621031681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13213417 + ... + 13213463.

Almost surely, 2^621031680 is an apocalyptic number.

621031680 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 621031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163215872).

621031680 is an abundant number, since it is smaller than the sum of its proper divisors (1705400064).

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

621031680 is a wasteful number, since it uses less digits than its factorization.

621031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

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

The square root of 621031680 is about 24920.5072179520. The cubic root of 621031680 is about 853.1746015519.

The spelling of 621031680 in words is "six hundred twenty-one million, thirty-one thousand, six hundred eighty".