114268608 has 84 divisors (see below), whose sum is σ = 329156568. Its totient is φ = 37900800.

The previous prime is 114268589. The next prime is 114268621. The reversal of 114268608 is 806862411.

114268608 is a `hidden beast` number, since 1 + 1 + 42 + 6 + 8 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162658 + ... + 163358.

Almost surely, 2^114268608 is an apocalyptic number.

114268608 is a gapful number since it is divisible by the number (18) 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 114268608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164578284).

114268608 is an abundant number, since it is smaller than the sum of its proper divisors (214887960).

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

114268608 is a wasteful number, since it uses less digits than its factorization.

114268608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 989 counting only the distinct ones).

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

The square root of 114268608 is about 10689.6495733022. The cubic root of 114268608 is about 485.2612869211.

The spelling of 114268608 in words is "one hundred fourteen million, two hundred sixty-eight thousand, six hundred eight".