114286080 has 160 divisors (see below), whose sum is σ = 381832704. Its totient is φ = 29106176.

The previous prime is 114286069. The next prime is 114286091. The reversal of 114286080 is 80682411.

It is an interprime number because it is at equal distance from previous prime (114286069) and next prime (114286091).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×114286080² = 26122616163532800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176317 + ... + 176963.

Almost surely, 2^114286080 is an apocalyptic number.

114286080 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 114286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190916352).

114286080 is an abundant number, since it is smaller than the sum of its proper divisors (267546624).

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

114286080 is an equidigital number, since it uses as much as digits as its factorization.

114286080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 114286080 is about 10690.4667812028. The cubic root of 114286080 is about 485.2860182778.

The spelling of 114286080 in words is "one hundred fourteen million, two hundred eighty-six thousand, eighty".