115665536 has 64 divisors (see below), whose sum is σ = 265265280. Its totient is φ = 49210368.

The previous prime is 115665523. The next prime is 115665541. The reversal of 115665536 is 635566511.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 115665536.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149246 + ... + 150018.

It is an arithmetic number, because the mean of its divisors is an integer number (4144770).

Almost surely, 2^115665536 is an apocalyptic number.

115665536 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 115665536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132632640).

115665536 is an abundant number, since it is smaller than the sum of its proper divisors (149599744).

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

115665536 is an equidigital number, since it uses as much as digits as its factorization.

115665536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 949 counting only the distinct ones).

The product of its digits is 81000, while the sum is 38.

The square root of 115665536 is about 10754.7913043443. The cubic root of 115665536 is about 487.2307148344.

It can be divided in two parts, 1156 and 65536, that multiplied together give a square (75759616 = 8704²).

The spelling of 115665536 in words is "one hundred fifteen million, six hundred sixty-five thousand, five hundred thirty-six".