1956157632 has 504 divisors, whose sum is σ = 7082869248. Its totient is φ = 510935040.

The previous prime is 1956157627. The next prime is 1956157639. The reversal of 1956157632 is 2367516591.

1956157632 is a `hidden beast` number, since 1 + 9 + 5 + 6 + 1 + 5 + 7 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1956157639) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15402753 + ... + 15402879.

It is an arithmetic number, because the mean of its divisors is an integer number (14053312).

Almost surely, 2^1956157632 is an apocalyptic number.

1956157632 is a gapful number since it is divisible by the number (12) 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 1956157632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541434624).

1956157632 is an abundant number, since it is smaller than the sum of its proper divisors (5126711616).

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

1956157632 is a wasteful number, since it uses less digits than its factorization.

1956157632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 1956157632 is about 44228.4708304504. The cubic root of 1956157632 is about 1250.6466269345.

The spelling of 1956157632 in words is "one billion, nine hundred fifty-six million, one hundred fifty-seven thousand, six hundred thirty-two".