627793920 has 336 divisors, whose sum is σ = 2361511152. Its totient is φ = 153354240.

The previous prime is 627793919. The next prime is 627793939. The reversal of 627793920 is 29397726.

It is a happy number.

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

It is a congruent number.

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, 4792255 + ... + 4792385.

It is an arithmetic number, because the mean of its divisors is an integer number (7028307).

Almost surely, 2^627793920 is an apocalyptic number.

627793920 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 627793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180755576).

627793920 is an abundant number, since it is smaller than the sum of its proper divisors (1733717232).

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

627793920 is a wasteful number, since it uses less digits than its factorization.

627793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 154 counting only the distinct ones).

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

The square root of 627793920 is about 25055.8160912791. The cubic root of 627793920 is about 856.2600892483.

The spelling of 627793920 in words is "six hundred twenty-seven million, seven hundred ninety-three thousand, nine hundred twenty".