114865920 has 324 divisors, whose sum is σ = 437640840. Its totient is φ = 27795456.

The previous prime is 114865903. The next prime is 114865931. The reversal of 114865920 is 29568411.

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 35 ways as a sum of consecutive naturals, for example, 1946851 + ... + 1946909.

Almost surely, 2^114865920 is an apocalyptic number.

114865920 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 114865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218820420).

114865920 is an abundant number, since it is smaller than the sum of its proper divisors (322774920).

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

114865920 is a wasteful number, since it uses less digits than its factorization.

114865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 114865920 is about 10717.5519592862. The cubic root of 114865920 is about 486.1053472792.

The spelling of 114865920 in words is "one hundred fourteen million, eight hundred sixty-five thousand, nine hundred twenty".