627973920 has 144 divisors (see below), whose sum is σ = 2449137600. Its totient is φ = 143534592.

The previous prime is 627973919. The next prime is 627973987. The reversal of 627973920 is 29379726.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21070 + ... + 41229.

It is an arithmetic number, because the mean of its divisors is an integer number (17007900).

Almost surely, 2^627973920 is an apocalyptic number.

627973920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

627973920 is an abundant number, since it is smaller than the sum of its proper divisors (1821163680).

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

627973920 is a wasteful number, since it uses less digits than its factorization.

627973920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62327 (or 62316 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 627973920 is about 25059.4078142322. The cubic root of 627973920 is about 856.3419165716.

The spelling of 627973920 in words is "six hundred twenty-seven million, nine hundred seventy-three thousand, nine hundred twenty".