965132784 has 360 divisors, whose sum is σ = 3493797216. Its totient is φ = 243302400.

The previous prime is 965132783. The next prime is 965132801. The reversal of 965132784 is 487231569.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965132783) 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, 5000592 + ... + 5000784.

Almost surely, 2^965132784 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 965132784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746898608).

965132784 is an abundant number, since it is smaller than the sum of its proper divisors (2528664432).

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

965132784 is a wasteful number, since it uses less digits than its factorization.

965132784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 257 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 965132784 is about 31066.5862946028. The cubic root of 965132784 is about 988.2398353433.

The spelling of 965132784 in words is "nine hundred sixty-five million, one hundred thirty-two thousand, seven hundred eighty-four".