114435936 has 96 divisors (see below), whose sum is σ = 351388800. Its totient is φ = 36132480.

The previous prime is 114435907. The next prime is 114435941. The reversal of 114435936 is 639534411.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 114435936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12931 + ... + 19901.

It is an arithmetic number, because the mean of its divisors is an integer number (3660300).

Almost surely, 2^114435936 is an apocalyptic number.

114435936 is a gapful number since it is divisible by the number (16) 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 114435936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175694400).

114435936 is an abundant number, since it is smaller than the sum of its proper divisors (236952864).

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

114435936 is a wasteful number, since it uses less digits than its factorization.

114435936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7009 (or 6995 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 114435936 is about 10697.4733465431. The cubic root of 114435936 is about 485.4980337715.

The spelling of 114435936 in words is "one hundred fourteen million, four hundred thirty-five thousand, nine hundred thirty-six".