963538272 has 72 divisors (see below), whose sum is σ = 2746663920. Its totient is φ = 320405760.

The previous prime is 963538267. The next prime is 963538319. The reversal of 963538272 is 272835369.

963538272 is a `hidden beast` number, since 9 + 635 + 3 + 8 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122622 + ... + 130242.

It is an arithmetic number, because the mean of its divisors is an integer number (38148110).

Almost surely, 2^963538272 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 963538272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373331960).

963538272 is an abundant number, since it is smaller than the sum of its proper divisors (1783125648).

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

963538272 is a wasteful number, since it uses less digits than its factorization.

963538272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8076 (or 8065 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 963538272 is about 31040.9128731743. The cubic root of 963538272 is about 987.6953061760.

The spelling of 963538272 in words is "nine hundred sixty-three million, five hundred thirty-eight thousand, two hundred seventy-two".