114408576 has 96 divisors (see below), whose sum is σ = 346616400. Its totient is φ = 36122112.

The previous prime is 114408571. The next prime is 114408587. The reversal of 114408576 is 675804411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 114408576.

It is not an unprimeable number, because it can be changed into a prime (114408571) 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, 19275 + ... + 24501.

Almost surely, 2^114408576 is an apocalyptic number.

114408576 is a gapful number since it is divisible by the number (16) 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 114408576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173308200).

114408576 is an abundant number, since it is smaller than the sum of its proper divisors (232207824).

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

114408576 is a wasteful number, since it uses less digits than its factorization.

114408576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5266 (or 5251 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 114408576 is about 10696.1944634529. The cubic root of 114408576 is about 485.4593388026.

The spelling of 114408576 in words is "one hundred fourteen million, four hundred eight thousand, five hundred seventy-six".