627384320 has 168 divisors, whose sum is σ = 1629584244. Its totient is φ = 231735296.

The previous prime is 627384311. The next prime is 627384349. The reversal of 627384320 is 23483726.

It can be written as a sum of positive squares in 6 ways, for example, as 510398464 + 116985856 = 22592^2 + 10816^2 .

It is a super-2 number, since 2×627384320² = 787222169963724800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11837414 + ... + 11837466.

Almost surely, 2^627384320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 627384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814792122).

627384320 is an abundant number, since it is smaller than the sum of its proper divisors (1002199924).

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

627384320 is an equidigital number, since it uses as much as digits as its factorization.

627384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 627384320 is about 25047.6410066896. The cubic root of 627384320 is about 856.0738283194.

The spelling of 627384320 in words is "six hundred twenty-seven million, three hundred eighty-four thousand, three hundred twenty".