617928864 has 96 divisors (see below), whose sum is σ = 1857655296. Its totient is φ = 176183040.

The previous prime is 617928863. The next prime is 617928911. The reversal of 617928864 is 468829716.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (617928863) 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, 635899 + ... + 636869.

It is an arithmetic number, because the mean of its divisors is an integer number (19350576).

Almost surely, 2^617928864 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 617928864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928827648).

617928864 is an abundant number, since it is smaller than the sum of its proper divisors (1239726432).

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

617928864 is a wasteful number, since it uses less digits than its factorization.

617928864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1930 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 617928864 is about 24858.1749933498. The cubic root of 617928864 is about 851.7513436019.

The spelling of 617928864 in words is "six hundred seventeen million, nine hundred twenty-eight thousand, eight hundred sixty-four".