627981120 has 224 divisors, whose sum is σ = 2386218240. Its totient is φ = 154552320.

The previous prime is 627981083. The next prime is 627981127. The reversal of 627981120 is 21189726.

627981120 is a `hidden beast` number, since 627 + 9 + 8 + 1 + 1 + 20 = 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 (627981127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109525 + ... + 115115.

It is an arithmetic number, because the mean of its divisors is an integer number (10652760).

Almost surely, 2^627981120 is an apocalyptic number.

627981120 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 627981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193109120).

627981120 is an abundant number, since it is smaller than the sum of its proper divisors (1758237120).

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

627981120 is a wasteful number, since it uses less digits than its factorization.

627981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5630 (or 5614 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 627981120 is about 25059.5514724426. The cubic root of 627981120 is about 856.3451893393.

The spelling of 627981120 in words is "six hundred twenty-seven million, nine hundred eighty-one thousand, one hundred twenty".