961685472 has 192 divisors, whose sum is σ = 2943682560. Its totient is φ = 272025600.

The previous prime is 961685467. The next prime is 961685509. The reversal of 961685472 is 274586169.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 948838 + ... + 949850.

It is an arithmetic number, because the mean of its divisors is an integer number (15331680).

Almost surely, 2^961685472 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 961685472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471841280).

961685472 is an abundant number, since it is smaller than the sum of its proper divisors (1981997088).

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

961685472 is a wasteful number, since it uses less digits than its factorization.

961685472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1089 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 961685472 is about 31011.0540291684. The cubic root of 961685472 is about 987.0618159974.

The spelling of 961685472 in words is "nine hundred sixty-one million, six hundred eighty-five thousand, four hundred seventy-two".