114965920 has 48 divisors (see below), whose sum is σ = 272674080. Its totient is φ = 45805824.

The previous prime is 114965909. The next prime is 114965923. The reversal of 114965920 is 29569411.

It is a super-2 number, since 2×114965920² = 26434325522892800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114965920.

It is not an unprimeable number, because it can be changed into a prime (114965923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44011 + ... + 46549.

It is an arithmetic number, because the mean of its divisors is an integer number (5680710).

Almost surely, 2^114965920 is an apocalyptic number.

114965920 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 114965920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136337040).

114965920 is an abundant number, since it is smaller than the sum of its proper divisors (157708160).

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

114965920 is a wasteful number, since it uses less digits than its factorization.

114965920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 114965920 is about 10722.2161888296. The cubic root of 114965920 is about 486.2463709327.

The spelling of 114965920 in words is "one hundred fourteen million, nine hundred sixty-five thousand, nine hundred twenty".