115648 has 28 divisors (see below), whose sum is σ = 248920. Its totient is φ = 52992.

The previous prime is 115637. The next prime is 115657. The reversal of 115648 is 846511.

It is a super-3 number, since 3×115648³ = 4640188616933376, which contains 333 as substring.

It is a nialpdrome in base 7.

It is a zygodrome in base 2 and base 7.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 763 + ... + 901.

It is an arithmetic number, because the mean of its divisors is an integer number (8890).

2¹¹⁵⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124460).

115648 is an abundant number, since it is smaller than the sum of its proper divisors (133272).

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

115648 is a wasteful number, since it uses less digits than its factorization.

115648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

The square root of 115648 is about 340.0705809093. The cubic root of 115648 is about 48.7206090647.

It can be divided in two parts, 11 and 5648, that multiplied together give a triangular number (62128 = T₃₅₂).

The spelling of 115648 in words is "one hundred fifteen thousand, six hundred forty-eight".