114292080 has 160 divisors (see below), whose sum is σ = 449971200. Its totient is φ = 26120448.

The previous prime is 114292063. The next prime is 114292099. The reversal of 114292080 is 80292411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11341 + ... + 18899.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2^114292080 is an apocalyptic number.

114292080 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 114292080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

114292080 is an abundant number, since it is smaller than the sum of its proper divisors (335679120).

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

114292080 is a wasteful number, since it uses less digits than its factorization.

114292080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7588 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 114292080 is about 10690.7474013747. The cubic root of 114292080 is about 485.2945106074.

The spelling of 114292080 in words is "one hundred fourteen million, two hundred ninety-two thousand, eighty".