965950272 has 336 divisors, whose sum is σ = 3461552640. Its totient is φ = 260900352.

The previous prime is 965950247. The next prime is 965950289. The reversal of 965950272 is 272059569.

965950272 is a `hidden beast` number, since 96 + 59 + 502 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2068183 + ... + 2068649.

It is an arithmetic number, because the mean of its divisors is an integer number (10302240).

Almost surely, 2^965950272 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 965950272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730776320).

965950272 is an abundant number, since it is smaller than the sum of its proper divisors (2495602368).

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

965950272 is a wasteful number, since it uses less digits than its factorization.

965950272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 965950272 is about 31079.7405394575. The cubic root of 965950272 is about 988.5187766564.

The spelling of 965950272 in words is "nine hundred sixty-five million, nine hundred fifty thousand, two hundred seventy-two".