617338464 has 96 divisors (see below), whose sum is σ = 1680989184. Its totient is φ = 198167040.

The previous prime is 617338453. The next prime is 617338489. The reversal of 617338464 is 464833716.

It is a happy number.

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

It is a super-2 number, since 2×617338464² = 762213558267758592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 841842 + ... + 842574.

It is an arithmetic number, because the mean of its divisors is an integer number (17510304).

Almost surely, 2^617338464 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 617338464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840494592).

617338464 is an abundant number, since it is smaller than the sum of its proper divisors (1063650720).

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

617338464 is a wasteful number, since it uses less digits than its factorization.

617338464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1052 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 617338464 is about 24846.2967864428. The cubic root of 617338464 is about 851.4799886156.

The spelling of 617338464 in words is "six hundred seventeen million, three hundred thirty-eight thousand, four hundred sixty-four".