114680080 has 60 divisors (see below), whose sum is σ = 271338660. Its totient is φ = 45075456.

The previous prime is 114680063. The next prime is 114680119. The reversal of 114680080 is 80086411.

It can be written as a sum of positive squares in 6 ways, for example, as 7929856 + 106750224 = 2816^2 + 10332^2 .

It is a super-3 number, since 3×114680080³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 426186 + ... + 426454.

It is an arithmetic number, because the mean of its divisors is an integer number (4522311).

Almost surely, 2^114680080 is an apocalyptic number.

114680080 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 114680080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135669330).

114680080 is an abundant number, since it is smaller than the sum of its proper divisors (156658580).

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

114680080 is an equidigital number, since it uses as much as digits as its factorization.

114680080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 114680080 is about 10708.8785594011. The cubic root of 114680080 is about 485.8430513770.

The spelling of 114680080 in words is "one hundred fourteen million, six hundred eighty thousand, eighty".