814944096 has 144 divisors (see below), whose sum is σ = 2560862304. Its totient is φ = 244518912.

The previous prime is 814944077. The next prime is 814944101. The reversal of 814944096 is 690449418.

814944096 is a `hidden beast` number, since 81 + 49 + 440 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108990 + ... + 116226.

It is an arithmetic number, because the mean of its divisors is an integer number (17783766).

Almost surely, 2^814944096 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 814944096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280431152).

814944096 is an abundant number, since it is smaller than the sum of its proper divisors (1745918208).

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

814944096 is a wasteful number, since it uses less digits than its factorization.

814944096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7293 (or 7282 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 814944096 is about 28547.2257145944. The cubic root of 814944096 is about 934.0625054651.

The spelling of 814944096 in words is "eight hundred fourteen million, nine hundred forty-four thousand, ninety-six".