814920960 has 432 divisors, whose sum is σ = 3120550272. Its totient is φ = 180633600.

The previous prime is 814920943. The next prime is 814920979. The reversal of 814920960 is 69029418.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11477725 + ... + 11477795.

It is an arithmetic number, because the mean of its divisors is an integer number (7223496).

Almost surely, 2^814920960 is an apocalyptic number.

814920960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560275136).

814920960 is an abundant number, since it is smaller than the sum of its proper divisors (2305629312).

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

814920960 is a wasteful number, since it uses less digits than its factorization.

814920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 814920960 is about 28546.8204884537. The cubic root of 814920960 is about 934.0536661370.

The spelling of 814920960 in words is "eight hundred fourteen million, nine hundred twenty thousand, nine hundred sixty".