115611984 has 120 divisors (see below), whose sum is σ = 343317312. Its totient is φ = 36241920.

The previous prime is 115611959. The next prime is 115612031. The reversal of 115611984 is 489116511.

115611984 = 2231² + 2232² + ... + 2253².

It is a happy number.

115611984 is a `hidden beast` number, since 1 + 1 + 561 + 1 + 98 + 4 = 666.

It is a super-2 number, since 2×115611984² = 26732261688832512, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221644 + ... + 222164.

Almost surely, 2^115611984 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 115611984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171658656).

115611984 is an abundant number, since it is smaller than the sum of its proper divisors (227705328).

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

115611984 is a wasteful number, since it uses less digits than its factorization.

115611984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 616 counting only the distinct ones).

The product of its digits is 8640, while the sum is 36.

The square root of 115611984 is about 10752.3013350631. The cubic root of 115611984 is about 487.1555088915.

The spelling of 115611984 in words is "one hundred fifteen million, six hundred eleven thousand, nine hundred eighty-four".