617638920 has 64 divisors (see below), whose sum is σ = 1854731520. Its totient is φ = 164542464.

The previous prime is 617638873. The next prime is 617638921. The reversal of 617638920 is 29836716.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (617638921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168952 + ... + 172568.

It is an arithmetic number, because the mean of its divisors is an integer number (28980180).

Almost surely, 2^617638920 is an apocalyptic number.

617638920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

617638920 is an abundant number, since it is smaller than the sum of its proper divisors (1237092600).

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

617638920 is a wasteful number, since it uses less digits than its factorization.

617638920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5054 (or 5050 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 617638920 is about 24852.3423443345. The cubic root of 617638920 is about 851.6181034388.

The spelling of 617638920 in words is "six hundred seventeen million, six hundred thirty-eight thousand, nine hundred twenty".