961471040 has 56 divisors (see below), whose sum is σ = 2424193272. Its totient is φ = 361963520.

The previous prime is 961471037. The next prime is 961471051. The reversal of 961471040 is 40174169.

It can be written as a sum of positive squares in 4 ways, for example, as 43138624 + 918332416 = 6568^2 + 30304^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 961470988 and 961471006.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 82931 + ... + 93810.

Almost surely, 2^961471040 is an apocalyptic number.

It is an amenable number.

961471040 is an abundant number, since it is smaller than the sum of its proper divisors (1462722232).

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

961471040 is a wasteful number, since it uses less digits than its factorization.

961471040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176775 (or 176765 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 961471040 is about 31007.5964886026. The cubic root of 961471040 is about 986.9884471123.

The spelling of 961471040 in words is "nine hundred sixty-one million, four hundred seventy-one thousand, forty".