621228960 has 384 divisors, whose sum is σ = 2514758400. Its totient is φ = 141557760.

The previous prime is 621228931. The next prime is 621228961. The reversal of 621228960 is 69822126.

It is a happy number.

621228960 is a `hidden beast` number, since 621 + 2 + 28 + 9 + 6 + 0 = 666.

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 (621228961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 807456 + ... + 808224.

It is an arithmetic number, because the mean of its divisors is an integer number (6548850).

Almost surely, 2^621228960 is an apocalyptic number.

621228960 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 621228960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257379200).

621228960 is an abundant number, since it is smaller than the sum of its proper divisors (1893529440).

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

621228960 is a wasteful number, since it uses less digits than its factorization.

621228960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 621228960 is about 24924.4650895461. The cubic root of 621228960 is about 853.2649332110.

The spelling of 621228960 in words is "six hundred twenty-one million, two hundred twenty-eight thousand, nine hundred sixty".