814294656 has 192 divisors, whose sum is σ = 2695492800. Its totient is φ = 231137280.

The previous prime is 814294603. The next prime is 814294697. The reversal of 814294656 is 656492418.

It is a tau number, because it is divible by the number of its divisors (192).

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, 1943215 + ... + 1943633.

It is an arithmetic number, because the mean of its divisors is an integer number (14039025).

Almost surely, 2^814294656 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 814294656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347746400).

814294656 is an abundant number, since it is smaller than the sum of its proper divisors (1881198144).

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

814294656 is a wasteful number, since it uses less digits than its factorization.

814294656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 672 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 814294656 is about 28535.8486118777. The cubic root of 814294656 is about 933.8143171667.

The spelling of 814294656 in words is "eight hundred fourteen million, two hundred ninety-four thousand, six hundred fifty-six".