114839424 has 256 divisors, whose sum is σ = 399513600. Its totient is φ = 31795200.

The previous prime is 114839411. The next prime is 114839443. The reversal of 114839424 is 424938411.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1136974 + ... + 1137074.

It is an arithmetic number, because the mean of its divisors is an integer number (1560600).

Almost surely, 2^114839424 is an apocalyptic number.

114839424 is a gapful number since it is divisible by the number (14) 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 114839424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199756800).

114839424 is an abundant number, since it is smaller than the sum of its proper divisors (284674176).

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

114839424 is a wasteful number, since it uses less digits than its factorization.

114839424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 114839424 is about 10716.3157848208. The cubic root of 114839424 is about 486.0679679366.

The spelling of 114839424 in words is "one hundred fourteen million, eight hundred thirty-nine thousand, four hundred twenty-four".