114167664 has 160 divisors (see below), whose sum is σ = 365601600. Its totient is φ = 33868800.

The previous prime is 114167663. The next prime is 114167701. The reversal of 114167664 is 466761411.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114167663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162514 + ... + 163214.

It is an arithmetic number, because the mean of its divisors is an integer number (2285010).

Almost surely, 2^114167664 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 114167664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

114167664 is an abundant number, since it is smaller than the sum of its proper divisors (251433936).

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

114167664 is a wasteful number, since it uses less digits than its factorization.

114167664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 748 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 114167664 is about 10684.9269534237. The cubic root of 114167664 is about 485.1183528077.

The spelling of 114167664 in words is "one hundred fourteen million, one hundred sixty-seven thousand, six hundred sixty-four".