814312960 has 120 divisors (see below), whose sum is σ = 2023551288. Its totient is φ = 314265600.

The previous prime is 814312943. The next prime is 814312969. The reversal of 814312960 is 69213418.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814312969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2459995 + ... + 2460325.

Almost surely, 2^814312960 is an apocalyptic number.

814312960 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 814312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011775644).

814312960 is an abundant number, since it is smaller than the sum of its proper divisors (1209238328).

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

814312960 is an equidigital number, since it uses as much as digits as its factorization.

814312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 814312960 is about 28536.1693294668. The cubic root of 814312960 is about 933.8213139825.

The spelling of 814312960 in words is "eight hundred fourteen million, three hundred twelve thousand, nine hundred sixty".