965496672 has 240 divisors, whose sum is σ = 3278499840. Its totient is φ = 273030912.

The previous prime is 965496583. The next prime is 965496703. The reversal of 965496672 is 276694569.

965496672 is a `hidden beast` number, since 96 + 5 + 496 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2304079 + ... + 2304497.

It is an arithmetic number, because the mean of its divisors is an integer number (13660416).

Almost surely, 2^965496672 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 965496672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639249920).

965496672 is an abundant number, since it is smaller than the sum of its proper divisors (2313003168).

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

965496672 is a wasteful number, since it uses less digits than its factorization.

965496672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 558 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 965496672 is about 31072.4423243491. The cubic root of 965496672 is about 988.3640197863.

The spelling of 965496672 in words is "nine hundred sixty-five million, four hundred ninety-six thousand, six hundred seventy-two".