965468160 has 336 divisors, whose sum is σ = 3506486256. Its totient is φ = 254803968.

The previous prime is 965468159. The next prime is 965468209. The reversal of 965468160 is 61864569.

965468160 is a `hidden beast` number, since 96 + 546 + 8 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9953232 + ... + 9953328.

It is an arithmetic number, because the mean of its divisors is an integer number (10435971).

Almost surely, 2^965468160 is an apocalyptic number.

965468160 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 965468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753243128).

965468160 is an abundant number, since it is smaller than the sum of its proper divisors (2541018096).

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

965468160 is an frugal number, since it uses more digits than its factorization.

965468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 965468160 is about 31071.9835221378. The cubic root of 965468160 is about 988.3542905927.

The spelling of 965468160 in words is "nine hundred sixty-five million, four hundred sixty-eight thousand, one hundred sixty".