114935808 has 96 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 35340288.

The previous prime is 114935789. The next prime is 114935809. The reversal of 114935808 is 808539411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×114935808² = 26420479921225728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (114935809) 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, 79153 + ... + 80591.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^114935808 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 114935808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

114935808 is an abundant number, since it is smaller than the sum of its proper divisors (215284992).

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

114935808 is a wasteful number, since it uses less digits than its factorization.

114935808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 114935808 is about 10720.8119095524. The cubic root of 114935808 is about 486.2039144979.

The spelling of 114935808 in words is "one hundred fourteen million, nine hundred thirty-five thousand, eight hundred eight".