114576 has 80 divisors (see below), whose sum is σ = 380928. Its totient is φ = 28800.

The previous prime is 114571. The next prime is 114577. The reversal of 114576 is 675411.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

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

Its product of digits (840) is a multiple of the sum of its prime factors (60).

It is not an unprimeable number, because it can be changed into a prime (114571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3681 + ... + 3711.

114576 is a Friedman number, since it can be written as 16*7*(4^5-1), using all its digits and the basic arithmetic operations.

2¹¹⁴⁵⁷⁶ is an apocalyptic number.

114576 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 114576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190464).

114576 is an abundant number, since it is smaller than the sum of its proper divisors (266352).

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

114576 is a wasteful number, since it uses less digits than its factorization.

114576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 54 counting only the distinct ones).

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

The square root of 114576 is about 338.4907679686. The cubic root of 114576 is about 48.5696028314.

114576 divided by its sum of digits (24) gives a palindrome (4774).

Adding to 114576 its reverse (675411), we get a palindrome (789987).

It can be divided in two parts, 1145 and 76, that added together give a palindrome (1221).

The spelling of 114576 in words is "one hundred fourteen thousand, five hundred seventy-six".