957668616 has 256 divisors, whose sum is σ = 2985984000. Its totient is φ = 282977280.

The previous prime is 957668603. The next prime is 957668617. The reversal of 957668616 is 616866759.

957668616 is a `hidden beast` number, since 9 + 576 + 6 + 8 + 61 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (957668617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5350015 + ... + 5350193.

It is an arithmetic number, because the mean of its divisors is an integer number (11664000).

Almost surely, 2^957668616 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 957668616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492992000).

957668616 is an abundant number, since it is smaller than the sum of its proper divisors (2028315384).

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

957668616 is a wasteful number, since it uses less digits than its factorization.

957668616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 279 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 957668616 is about 30946.2213525335. The cubic root of 957668616 is about 985.6856147210.

The spelling of 957668616 in words is "nine hundred fifty-seven million, six hundred sixty-eight thousand, six hundred sixteen".