114087800 has 96 divisors (see below), whose sum is σ = 277214400. Its totient is φ = 43630080.

The previous prime is 114087767. The next prime is 114087803. The reversal of 114087800 is 8780411.

114087800 = 13² + 14² + ... + 699².

It is a super-2 number, since 2×114087800² = 26032052217680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114087803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498086 + ... + 498314.

It is an arithmetic number, because the mean of its divisors is an integer number (2887650).

Almost surely, 2^114087800 is an apocalyptic number.

114087800 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 114087800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138607200).

114087800 is an abundant number, since it is smaller than the sum of its proper divisors (163126600).

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

114087800 is a wasteful number, since it uses less digits than its factorization.

114087800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 114087800 is about 10681.1890723833. The cubic root of 114087800 is about 485.0052077239.

The spelling of 114087800 in words is "one hundred fourteen million, eighty-seven thousand, eight hundred".