114784920 has 96 divisors (see below), whose sum is σ = 379239120. Its totient is φ = 30101760.

The previous prime is 114784907. The next prime is 114784937. The reversal of 114784920 is 29487411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19347 + ... + 24573.

Almost surely, 2^114784920 is an apocalyptic number.

114784920 is a gapful number since it is divisible by the number (10) 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 114784920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189619560).

114784920 is an abundant number, since it is smaller than the sum of its proper divisors (264454200).

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

114784920 is a wasteful number, since it uses less digits than its factorization.

114784920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5305 (or 5298 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 114784920 is about 10713.7724448487. The cubic root of 114784920 is about 485.9910581091.

The spelling of 114784920 in words is "one hundred fourteen million, seven hundred eighty-four thousand, nine hundred twenty".