965632320 has 224 divisors, whose sum is σ = 3455456640. Its totient is φ = 253808640.

The previous prime is 965632319. The next prime is 965632321. The reversal of 965632320 is 23236569.

965632320 is a `hidden beast` number, since 96 + 563 + 2 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (965632319) and next prime (965632321).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965632321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629955 + ... + 631485.

Almost surely, 2^965632320 is an apocalyptic number.

965632320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 965632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727728320).

965632320 is an abundant number, since it is smaller than the sum of its proper divisors (2489824320).

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

965632320 is a wasteful number, since it uses less digits than its factorization.

965632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 965632320 is about 31074.6250178502. The cubic root of 965632320 is about 988.4103045391.

Adding to 965632320 its reverse (23236569), we get a palindrome (988868889).

The spelling of 965632320 in words is "nine hundred sixty-five million, six hundred thirty-two thousand, three hundred twenty".