616318956 has 144 divisors (see below), whose sum is σ = 1794199680. Its totient is φ = 183409920.

The previous prime is 616318951. The next prime is 616318961. The reversal of 616318956 is 659813616.

616318956 is a `hidden beast` number, since 6 + 1 + 631 + 8 + 9 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (616318951) and next prime (616318961).

It is not an unprimeable number, because it can be changed into a prime (616318951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 630340 + ... + 631316.

It is an arithmetic number, because the mean of its divisors is an integer number (12459720).

Almost surely, 2^616318956 is an apocalyptic number.

616318956 is a gapful number since it is divisible by the number (66) 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 616318956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897099840).

616318956 is an abundant number, since it is smaller than the sum of its proper divisors (1177880724).

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

616318956 is a wasteful number, since it uses less digits than its factorization.

616318956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1052 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 616318956 is about 24825.7720121651. The cubic root of 616318956 is about 851.0110027883.

The spelling of 616318956 in words is "six hundred sixteen million, three hundred eighteen thousand, nine hundred fifty-six".