621768960 has 216 divisors, whose sum is σ = 2232048000. Its totient is φ = 165722112.

The previous prime is 621768943. The next prime is 621768967. The reversal of 621768960 is 69867126.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (621768967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310041 + ... + 312039.

Almost surely, 2^621768960 is an apocalyptic number.

621768960 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 621768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116024000).

621768960 is an abundant number, since it is smaller than the sum of its proper divisors (1610279040).

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

621768960 is an equidigital number, since it uses as much as digits as its factorization.

621768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 621768960 is about 24935.2954664668. The cubic root of 621768960 is about 853.5120936262.

The spelling of 621768960 in words is "six hundred twenty-one million, seven hundred sixty-eight thousand, nine hundred sixty".