114583808 has 72 divisors (see below), whose sum is σ = 245365848. Its totient is φ = 53215232.

The previous prime is 114583801. The next prime is 114583811. The reversal of 114583808 is 808385411.

It can be written as a sum of positive squares in 4 ways, for example, as 350464 + 114233344 = 592^2 + 10688^2 .

It is not an unprimeable number, because it can be changed into a prime (114583801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491660 + ... + 491892.

It is an arithmetic number, because the mean of its divisors is an integer number (3407859).

Almost surely, 2^114583808 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 114583808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122682924).

114583808 is an abundant number, since it is smaller than the sum of its proper divisors (130782040).

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

114583808 is a wasteful number, since it uses less digits than its factorization.

114583808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

The square root of 114583808 is about 10704.3826538479. The cubic root of 114583808 is about 485.7070609570.

The spelling of 114583808 in words is "one hundred fourteen million, five hundred eighty-three thousand, eight hundred eight".