115605980 has 48 divisors (see below), whose sum is σ = 282023616. Its totient is φ = 38983680.

The previous prime is 115605953. The next prime is 115605983. The reversal of 115605980 is 89506511.

It is a super-2 number, since 2×115605980² = 26729485223520800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 115605980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115605983) 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, 1772 + ... + 15308.

It is an arithmetic number, because the mean of its divisors is an integer number (5875492).

Almost surely, 2^115605980 is an apocalyptic number.

115605980 is a gapful number since it is divisible by the number (10) 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 115605980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141011808).

115605980 is an abundant number, since it is smaller than the sum of its proper divisors (166417636).

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

115605980 is a wasteful number, since it uses less digits than its factorization.

115605980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13614 (or 13612 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 35.

The square root of 115605980 is about 10752.0221353939. The cubic root of 115605980 is about 487.1470757049.

The spelling of 115605980 in words is "one hundred fifteen million, six hundred five thousand, nine hundred eighty".