964161216 has 84 divisors (see below), whose sum is σ = 2770351584. Its totient is φ = 320601600.

The previous prime is 964161203. The next prime is 964161221. The reversal of 964161216 is 612161469.

964161216 is a `hidden beast` number, since 9 + 641 + 6 + 1 + 2 + 1 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 263721 + ... + 267351.

It is an arithmetic number, because the mean of its divisors is an integer number (32980376).

Almost surely, 2^964161216 is an apocalyptic number.

964161216 is a gapful number since it is divisible by the number (96) 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 964161216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385175792).

964161216 is an abundant number, since it is smaller than the sum of its proper divisors (1806190368).

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

964161216 is a wasteful number, since it uses less digits than its factorization.

964161216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4110 (or 4097 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 964161216 is about 31050.9454928509. The cubic root of 964161216 is about 987.9081143000.

The spelling of 964161216 in words is "nine hundred sixty-four million, one hundred sixty-one thousand, two hundred sixteen".