114319920 has 160 divisors (see below), whose sum is σ = 416473344. Its totient is φ = 25574400.

The previous prime is 114319897. The next prime is 114319949. The reversal of 114319920 is 29913411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32655 + ... + 35985.

Almost surely, 2^114319920 is an apocalyptic number.

114319920 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 114319920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208236672).

114319920 is an abundant number, since it is smaller than the sum of its proper divisors (302153424).

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

114319920 is a wasteful number, since it uses less digits than its factorization.

114319920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 114319920 is about 10692.0493826020. The cubic root of 114319920 is about 485.3339111279. Note that the first 3 decimals are identical.

The spelling of 114319920 in words is "one hundred fourteen million, three hundred nineteen thousand, nine hundred twenty".