115683552 has 216 divisors, whose sum is σ = 371989800. Its totient is φ = 35271936.

The previous prime is 115683539. The next prime is 115683559. The reversal of 115683552 is 255386511.

It is a happy number.

115683552 is a `hidden beast` number, since 11 + 568 + 35 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115683559) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3989074 + ... + 3989102.

It is an arithmetic number, because the mean of its divisors is an integer number (1722175).

Almost surely, 2^115683552 is an apocalyptic number.

115683552 is a gapful number since it is divisible by the number (12) 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 115683552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185994900).

115683552 is an abundant number, since it is smaller than the sum of its proper divisors (256306248).

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

115683552 is an frugal number, since it uses more digits than its factorization.

115683552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 115683552 is about 10755.6288519082. The cubic root of 115683552 is about 487.2560104501.

The spelling of 115683552 in words is "one hundred fifteen million, six hundred eighty-three thousand, five hundred fifty-two".