114397920 has 480 divisors, whose sum is σ = 502020288. Its totient is φ = 23887872.

The previous prime is 114397891. The next prime is 114397949. The reversal of 114397920 is 29793411.

It is an interprime number because it is at equal distance from previous prime (114397891) and next prime (114397949).

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 1179312 + ... + 1179408.

Almost surely, 2^114397920 is an apocalyptic number.

114397920 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 114397920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251010144).

114397920 is an abundant number, since it is smaller than the sum of its proper divisors (387622368).

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

114397920 is a wasteful number, since it uses less digits than its factorization.

114397920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 114397920 is about 10695.6963307678. The cubic root of 114397920 is about 485.4442664613. Note that the first 3 decimals are identical.

The spelling of 114397920 in words is "one hundred fourteen million, three hundred ninety-seven thousand, nine hundred twenty".