114576000 has 512 divisors, whose sum is σ = 488816640. Its totient is φ = 23040000.

The previous prime is 114575999. The next prime is 114576001. The reversal of 114576000 is 675411.

It is an interprime number because it is at equal distance from previous prime (114575999) and next prime (114576001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114576001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3695985 + ... + 3696015.

It is an arithmetic number, because the mean of its divisors is an integer number (954720).

Almost surely, 2^114576000 is an apocalyptic number.

114576000 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 114576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244408320).

114576000 is an abundant number, since it is smaller than the sum of its proper divisors (374240640).

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

114576000 is a wasteful number, since it uses less digits than its factorization.

114576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 114576000 is about 10704.0179372047. The cubic root of 114576000 is about 485.6960283136.

The spelling of 114576000 in words is "one hundred fourteen million, five hundred seventy-six thousand".