114987600 has 540 divisors, whose sum is σ = 512113056. Its totient is φ = 24261120.

The previous prime is 114987577. The next prime is 114987641. The reversal of 114987600 is 6789411.

114987600 = T₁₅₄₄ + T₁₅₄₅ + ... + T₁₆₃₄.

114987600 is a `hidden beast` number, since 1 + 1 + 49 + 8 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8845194 + ... + 8845206.

Almost surely, 2^114987600 is an apocalyptic number.

114987600 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 114987600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256056528).

114987600 is an abundant number, since it is smaller than the sum of its proper divisors (397125456).

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

114987600 is a wasteful number, since it uses less digits than its factorization.

114987600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 114987600 is about 10723.2271261967. The cubic root of 114987600 is about 486.2769340733.

Multiplying 114987600 by its product of nonzero digits (12096), we get a square (1390890009600 = 1179360²).

The spelling of 114987600 in words is "one hundred fourteen million, nine hundred eighty-seven thousand, six hundred".