816113664 has 96 divisors (see below), whose sum is σ = 2417688000. Its totient is φ = 272019456.

The previous prime is 816113659. The next prime is 816113791. The reversal of 816113664 is 466311618.

816113664 is a `hidden beast` number, since 8 + 1 + 611 + 36 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 7 ways as a sum of consecutive naturals, for example, 47917 + ... + 62675.

It is an arithmetic number, because the mean of its divisors is an integer number (25184250).

Almost surely, 2^816113664 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 816113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208844000).

816113664 is an abundant number, since it is smaller than the sum of its proper divisors (1601574336).

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

816113664 is a wasteful number, since it uses less digits than its factorization.

816113664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14790 (or 14764 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 816113664 is about 28567.7031628376. The cubic root of 816113664 is about 934.5091321838.

The spelling of 816113664 in words is "eight hundred sixteen million, one hundred thirteen thousand, six hundred sixty-four".