114766080 has 432 divisors, whose sum is σ = 456711360. Its totient is φ = 24330240.

The previous prime is 114766063. The next prime is 114766103. The reversal of 114766080 is 80667411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6040311 + ... + 6040329.

Almost surely, 2^114766080 is an apocalyptic number.

114766080 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 114766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228355680).

114766080 is an abundant number, since it is smaller than the sum of its proper divisors (341945280).

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

114766080 is a wasteful number, since it uses less digits than its factorization.

114766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 114766080 is about 10712.8931666474. The cubic root of 114766080 is about 485.9644675880.

The spelling of 114766080 in words is "one hundred fourteen million, seven hundred sixty-six thousand, eighty".