616957968 has 160 divisors (see below), whose sum is σ = 1853452800. Its totient is φ = 174873600.

The previous prime is 616957961. The next prime is 616957969. The reversal of 616957968 is 869759616.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (616957961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 892503 + ... + 893193.

It is an arithmetic number, because the mean of its divisors is an integer number (11584080).

Almost surely, 2^616957968 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 616957968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926726400).

616957968 is an abundant number, since it is smaller than the sum of its proper divisors (1236494832).

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

616957968 is a wasteful number, since it uses less digits than its factorization.

616957968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 815 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 57.

The square root of 616957968 is about 24838.6386100366. The cubic root of 616957968 is about 851.3050163575.

The spelling of 616957968 in words is "six hundred sixteen million, nine hundred fifty-seven thousand, nine hundred sixty-eight".