314813088 has 96 divisors (see below), whose sum is σ = 940705920. Its totient is φ = 102366720.

The previous prime is 314813087. The next prime is 314813099. The reversal of 314813088 is 880318413.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (314813087) 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, 30981 + ... + 39867.

It is an arithmetic number, because the mean of its divisors is an integer number (9799020).

Almost surely, 2^314813088 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 314813088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470352960).

314813088 is an abundant number, since it is smaller than the sum of its proper divisors (625892832).

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

314813088 is a wasteful number, since it uses less digits than its factorization.

314813088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8947 (or 8933 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 314813088 is about 17742.9729188769. The cubic root of 314813088 is about 680.2746065063.

The spelling of 314813088 in words is "three hundred fourteen million, eight hundred thirteen thousand, eighty-eight".