621875520 has 336 divisors, whose sum is σ = 2475707520. Its totient is φ = 140341248.

The previous prime is 621875509. The next prime is 621875537. The reversal of 621875520 is 25578126.

It is a happy number.

621875520 is a `hidden beast` number, since 6 + 21 + 87 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2197299 + ... + 2197581.

Almost surely, 2^621875520 is an apocalyptic number.

621875520 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 621875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237853760).

621875520 is an abundant number, since it is smaller than the sum of its proper divisors (1853832000).

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

621875520 is a wasteful number, since it uses less digits than its factorization.

621875520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 621875520 is about 24937.4321051707. The cubic root of 621875520 is about 853.5608497073.

The spelling of 621875520 in words is "six hundred twenty-one million, eight hundred seventy-five thousand, five hundred twenty".