814920864 has 72 divisors (see below), whose sum is σ = 2190549312. Its totient is φ = 265265280.

The previous prime is 814920833. The next prime is 814920871. The reversal of 814920864 is 468029418.

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 11 ways as a sum of consecutive naturals, for example, 175209 + ... + 179799.

It is an arithmetic number, because the mean of its divisors is an integer number (30424296).

Almost surely, 2^814920864 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 814920864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095274656).

814920864 is an abundant number, since it is smaller than the sum of its proper divisors (1375628448).

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

814920864 is a wasteful number, since it uses less digits than its factorization.

814920864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 814920864 is about 28546.8188070054. The cubic root of 814920864 is about 934.0536294590.

The spelling of 814920864 in words is "eight hundred fourteen million, nine hundred twenty thousand, eight hundred sixty-four".