814956768 has 96 divisors (see below), whose sum is σ = 2453713920. Its totient is φ = 262880640.

The previous prime is 814956763. The next prime is 814956787. The reversal of 814956768 is 867659418.

814956768 is a `hidden beast` number, since 8 + 14 + 9 + 567 + 68 = 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814956763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11571 + ... + 41997.

It is an arithmetic number, because the mean of its divisors is an integer number (25559520).

Almost surely, 2^814956768 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 814956768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226856960).

814956768 is an abundant number, since it is smaller than the sum of its proper divisors (1638757152).

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

814956768 is a wasteful number, since it uses less digits than its factorization.

814956768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30477 (or 30463 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 814956768 is about 28547.4476617438. The cubic root of 814956768 is about 934.0673468519.

The spelling of 814956768 in words is "eight hundred fourteen million, nine hundred fifty-six thousand, seven hundred sixty-eight".