621658872 has 192 divisors, whose sum is σ = 1860019200. Its totient is φ = 186831360.

The previous prime is 621658871. The next prime is 621658879. The reversal of 621658872 is 278856126.

621658872 is a `hidden beast` number, since 62 + 1 + 6 + 588 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (621658871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4537588 + ... + 4537724.

It is an arithmetic number, because the mean of its divisors is an integer number (9687600).

Almost surely, 2^621658872 is an apocalyptic number.

621658872 is a gapful number since it is divisible by the number (62) 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 621658872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930009600).

621658872 is an abundant number, since it is smaller than the sum of its proper divisors (1238360328).

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

621658872 is a wasteful number, since it uses less digits than its factorization.

621658872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 299 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 621658872 is about 24933.0878954052. The cubic root of 621658872 is about 853.4617174729.

The spelling of 621658872 in words is "six hundred twenty-one million, six hundred fifty-eight thousand, eight hundred seventy-two".