115664 has 10 divisors (see below), whose sum is σ = 224130. Its totient is φ = 57824.

The previous prime is 115663. The next prime is 115679. The reversal of 115664 is 466511.

It can be written as a sum of positive squares in only one way, i.e., 115600 + 64 = 340^2 + 8^2 .

It is an Ulam number.

It is a plaindrome in base 11.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115663) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3599 + ... + 3630.

It is an arithmetic number, because the mean of its divisors is an integer number (22413).

2¹¹⁵⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

115664 is a deficient number, since it is larger than the sum of its proper divisors (108466).

115664 is an equidigital number, since it uses as much as digits as its factorization.

115664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7237 (or 7231 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 115664 is about 340.0941046240. The cubic root of 115664 is about 48.7228558071.

It can be divided in two parts, 11566 and 4, that multiplied together give a palindrome (46264).

The spelling of 115664 in words is "one hundred fifteen thousand, six hundred sixty-four".