114889600 has 192 divisors, whose sum is σ = 339978240. Its totient is φ = 37509120.

The previous prime is 114889591. The next prime is 114889601. The reversal of 114889600 is 6988411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114889600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114889601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 515089 + ... + 515311.

It is an arithmetic number, because the mean of its divisors is an integer number (1770720).

Almost surely, 2^114889600 is an apocalyptic number.

114889600 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 114889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169989120).

114889600 is an abundant number, since it is smaller than the sum of its proper divisors (225088640).

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

114889600 is a wasteful number, since it uses less digits than its factorization.

114889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 114889600 is about 10718.6566322464. The cubic root of 114889600 is about 486.1387490741.

The spelling of 114889600 in words is "one hundred fourteen million, eight hundred eighty-nine thousand, six hundred".