114506800 has 60 divisors (see below), whose sum is σ = 278497800. Its totient is φ = 45237760.

The previous prime is 114506771. The next prime is 114506801. The reversal of 114506800 is 8605411.

It is a super-2 number, since 2×114506800² = 26223614492480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (114506801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 31476 + ... + 34924.

It is an arithmetic number, because the mean of its divisors is an integer number (4641630).

Almost surely, 2^114506800 is an apocalyptic number.

114506800 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 114506800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139248900).

114506800 is an abundant number, since it is smaller than the sum of its proper divisors (163991000).

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

114506800 is a wasteful number, since it uses less digits than its factorization.

114506800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 114506800 is about 10700.7850179321. The cubic root of 114506800 is about 485.5982273375.

The spelling of 114506800 in words is "one hundred fourteen million, five hundred six thousand, eight hundred".