965678336 has 72 divisors (see below), whose sum is σ = 2332612800. Its totient is φ = 389505024.

The previous prime is 965678321. The next prime is 965678377. The reversal of 965678336 is 633876569.

It is a super-3 number, since 3×965678336³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14615 + ... + 46313.

It is an arithmetic number, because the mean of its divisors is an integer number (32397400).

Almost surely, 2^965678336 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 965678336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166306400).

965678336 is an abundant number, since it is smaller than the sum of its proper divisors (1366934464).

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

965678336 is a wasteful number, since it uses less digits than its factorization.

965678336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31739 (or 31725 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 53.

The square root of 965678336 is about 31075.3654202167. The cubic root of 965678336 is about 988.4260047752.

The spelling of 965678336 in words is "nine hundred sixty-five million, six hundred seventy-eight thousand, three hundred thirty-six".