114182880 has 192 divisors, whose sum is σ = 435456000. Its totient is φ = 24551424.

The previous prime is 114182857. The next prime is 114182891. The reversal of 114182880 is 88281411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56121 + ... + 58119.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 2^114182880 is an apocalyptic number.

114182880 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 114182880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728000).

114182880 is an abundant number, since it is smaller than the sum of its proper divisors (321273120).

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

114182880 is a wasteful number, since it uses less digits than its factorization.

114182880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 33.

The square root of 114182880 is about 10685.6389607735. The cubic root of 114182880 is about 485.1399036646.

The spelling of 114182880 in words is "one hundred fourteen million, one hundred eighty-two thousand, eight hundred eighty".