957121632 has 144 divisors (see below), whose sum is σ = 2864429568. Its totient is φ = 302565120.

The previous prime is 957121631. The next prime is 957121651. The reversal of 957121632 is 236121759.

957121632 is a `hidden beast` number, since 9 + 5 + 7 + 12 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957121631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 867193 + ... + 868295.

It is an arithmetic number, because the mean of its divisors is an integer number (19891872).

Almost surely, 2^957121632 is an apocalyptic number.

957121632 is a gapful number since it is divisible by the number (92) 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 957121632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432214784).

957121632 is an abundant number, since it is smaller than the sum of its proper divisors (1907307936).

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

957121632 is a wasteful number, since it uses less digits than its factorization.

957121632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1262 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 957121632 is about 30937.3824361403. The cubic root of 957121632 is about 985.4979168988.

It can be divided in two parts, 95712 and 1632, that added together give a square (97344 = 312²).

The spelling of 957121632 in words is "nine hundred fifty-seven million, one hundred twenty-one thousand, six hundred thirty-two".