114916824 has 96 divisors (see below), whose sum is σ = 341312400. Its totient is φ = 34640640.

The previous prime is 114916817. The next prime is 114916829. The reversal of 114916824 is 428619411.

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 not an unprimeable number, because it can be changed into a prime (114916829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295222 + ... + 295610.

Almost surely, 2^114916824 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 114916824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170656200).

114916824 is an abundant number, since it is smaller than the sum of its proper divisors (226395576).

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

114916824 is a wasteful number, since it uses less digits than its factorization.

114916824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 778 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 114916824 is about 10719.9264922853. The cubic root of 114916824 is about 486.1771441830.

The spelling of 114916824 in words is "one hundred fourteen million, nine hundred sixteen thousand, eight hundred twenty-four".