114624 has 42 divisors (see below), whose sum is σ = 330200. Its totient is φ = 38016.

The previous prime is 114617. The next prime is 114641. The reversal of 114624 is 426411.

It is a super-2 number, since 2×114624² = 26277322752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 114597 and 114606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 477 + ... + 675.

2¹¹⁴⁶²⁴ 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 114624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165100).

114624 is an abundant number, since it is smaller than the sum of its proper divisors (215576).

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

114624 is a wasteful number, since it uses less digits than its factorization.

114624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 114624 is about 338.5616635120. The cubic root of 114624 is about 48.5763844012.

The spelling of 114624 in words is "one hundred fourteen thousand, six hundred twenty-four".