114066800 has 60 divisors (see below), whose sum is σ = 275614800. Its totient is φ = 45365760.

The previous prime is 114066793. The next prime is 114066803. The reversal of 114066800 is 8660411.

It is a super-2 number, since 2×114066800² = 26022469724480000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114066800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114066803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78884 + ... + 80316.

It is an arithmetic number, because the mean of its divisors is an integer number (4593580).

Almost surely, 2^114066800 is an apocalyptic number.

114066800 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 114066800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137807400).

114066800 is an abundant number, since it is smaller than the sum of its proper divisors (161548000).

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

114066800 is a wasteful number, since it uses less digits than its factorization.

114066800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 114066800 is about 10680.2059905228. The cubic root of 114066800 is about 484.9754477953.

The spelling of 114066800 in words is "one hundred fourteen million, sixty-six thousand, eight hundred".