957936672 has 576 divisors, whose sum is σ = 3785201280. Its totient is φ = 234178560.

The previous prime is 957936659. The next prime is 957936677. The reversal of 957936672 is 276639759.

957936672 is a `hidden beast` number, since 9 + 579 + 3 + 6 + 67 + 2 = 666.

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

Its product of digits (4286520) is a multiple of the sum of its prime divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957936677) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56349208 + ... + 56349224.

It is an arithmetic number, because the mean of its divisors is an integer number (6571530).

Almost surely, 2^957936672 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 957936672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892600640).

957936672 is an abundant number, since it is smaller than the sum of its proper divisors (2827264608).

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

957936672 is a wasteful number, since it uses less digits than its factorization.

957936672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 40 counting only the distinct ones).

The product of its digits is 4286520, while the sum is 54.

The square root of 957936672 is about 30950.5520467729. The cubic root of 957936672 is about 985.7775721722. Note that the first 3 decimals are identical.

The spelling of 957936672 in words is "nine hundred fifty-seven million, nine hundred thirty-six thousand, six hundred seventy-two".