967957632 has 48 divisors (see below), whose sum is σ = 2785402230. Its totient is φ = 322652160.

The previous prime is 967957597. The next prime is 967957633. The reversal of 967957632 is 236759769.

967957632 is a `hidden beast` number, since 9 + 67 + 9 + 576 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 747256896 + 220700736 = 27336^2 + 14856^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (967957633) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 418969 + ... + 421272.

Almost surely, 2^967957632 is an apocalyptic number.

It is an amenable number.

967957632 is an abundant number, since it is smaller than the sum of its proper divisors (1817444598).

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

967957632 is a wasteful number, since it uses less digits than its factorization.

967957632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840261 (or 840246 counting only the distinct ones).

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

The square root of 967957632 is about 31112.0174852098. The cubic root of 967957632 is about 989.2030562193.

The spelling of 967957632 in words is "nine hundred sixty-seven million, nine hundred fifty-seven thousand, six hundred thirty-two".