114167808 has 156 divisors (see below), whose sum is σ = 349264240. Its totient is φ = 35831808.

The previous prime is 114167803. The next prime is 114167813. The reversal of 114167808 is 808761411.

It is an interprime number because it is at equal distance from previous prime (114167803) and next prime (114167813).

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 (114167803) 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, 700335 + ... + 700497.

Almost surely, 2^114167808 is an apocalyptic number.

114167808 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 114167808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174632120).

114167808 is an abundant number, since it is smaller than the sum of its proper divisors (235096432).

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

114167808 is a wasteful number, since it uses less digits than its factorization.

114167808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 114167808 is about 10684.9336918860. The cubic root of 114167808 is about 485.1185567680.

The spelling of 114167808 in words is "one hundred fourteen million, one hundred sixty-seven thousand, eight hundred eight".