621824040 has 320 divisors, whose sum is σ = 2224696320. Its totient is φ = 155520000.

The previous prime is 621824033. The next prime is 621824041. The reversal of 621824040 is 40428126.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 621823995 and 621824013.

It is not an unprimeable number, because it can be changed into a prime (621824041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4117965 + ... + 4118115.

It is an arithmetic number, because the mean of its divisors is an integer number (6952176).

Almost surely, 2^621824040 is an apocalyptic number.

621824040 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 621824040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112348160).

621824040 is an abundant number, since it is smaller than the sum of its proper divisors (1602872280).

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

621824040 is a wasteful number, since it uses less digits than its factorization.

621824040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 621824040 is about 24936.3999005470. The cubic root of 621824040 is about 853.5372959447.

The spelling of 621824040 in words is "six hundred twenty-one million, eight hundred twenty-four thousand, forty".