114936432 has 80 divisors (see below), whose sum is σ = 326645760. Its totient is φ = 34603776.

The previous prime is 114936431. The next prime is 114936457. The reversal of 114936432 is 234639411.

It is a junction number, because it is equal to n+sod(n) for n = 114936393 and 114936402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114936431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27369 + ... + 31287.

It is an arithmetic number, because the mean of its divisors is an integer number (4083072).

Almost surely, 2^114936432 is an apocalyptic number.

114936432 is a gapful number since it is divisible by the number (12) 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 114936432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163322880).

114936432 is an abundant number, since it is smaller than the sum of its proper divisors (211709328).

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

114936432 is a wasteful number, since it uses less digits than its factorization.

114936432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990 (or 3984 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 114936432 is about 10720.8410117863. The cubic root of 114936432 is about 486.2047943824.

The spelling of 114936432 in words is "one hundred fourteen million, nine hundred thirty-six thousand, four hundred thirty-two".