814933632 has 64 divisors (see below), whose sum is σ = 2174436000. Its totient is φ = 270418944.

The previous prime is 814933619. The next prime is 814933633. The reversal of 814933632 is 236339418.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×814933632² = 1328233649129422848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (814933633) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 82494 + ... + 91842.

Almost surely, 2^814933632 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 814933632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087218000).

814933632 is an abundant number, since it is smaller than the sum of its proper divisors (1359502368).

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

814933632 is a wasteful number, since it uses less digits than its factorization.

814933632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9593 (or 9581 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 814933632 is about 28547.0424387536. The cubic root of 814933632 is about 934.0585076155.

The spelling of 814933632 in words is "eight hundred fourteen million, nine hundred thirty-three thousand, six hundred thirty-two".