114976000 has 72 divisors (see below), whose sum is σ = 286499304. Its totient is φ = 45977600.

The previous prime is 114975979. The next prime is 114976003. The reversal of 114976000 is 679411.

It can be written as a sum of positive squares in 4 ways, for example, as 10445824 + 104530176 = 3232^2 + 10224^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 114976000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114976003) 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 7 ways as a sum of consecutive naturals, for example, 30204 + ... + 33796.

It is an arithmetic number, because the mean of its divisors is an integer number (3979157).

Almost surely, 2^114976000 is an apocalyptic number.

114976000 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 114976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143249652).

114976000 is an abundant number, since it is smaller than the sum of its proper divisors (171523304).

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

114976000 is an frugal number, since it uses more digits than its factorization.

114976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3624 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 114976000 is about 10722.6862306047. The cubic root of 114976000 is about 486.2605815793.

The spelling of 114976000 in words is "one hundred fourteen million, nine hundred seventy-six thousand".