617652480 has 144 divisors (see below), whose sum is σ = 1983824640. Its totient is φ = 163774464.

The previous prime is 617652479. The next prime is 617652487. The reversal of 617652480 is 84256716.

It is not an unprimeable number, because it can be changed into a prime (617652487) 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, 917424 + ... + 918096.

It is an arithmetic number, because the mean of its divisors is an integer number (13776560).

Almost surely, 2^617652480 is an apocalyptic number.

617652480 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 617652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991912320).

617652480 is an abundant number, since it is smaller than the sum of its proper divisors (1366172160).

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

617652480 is a wasteful number, since it uses less digits than its factorization.

617652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 617652480 is about 24852.6151541442. The cubic root of 617652480 is about 851.6243356977.

The spelling of 617652480 in words is "six hundred seventeen million, six hundred fifty-two thousand, four hundred eighty".