115089984 has 105 divisors (see below), whose sum is σ = 343467817. Its totient is φ = 38105856.

The previous prime is 115089971. The next prime is 115090021. The reversal of 115089984 is 489980511.

The square root of 115089984 is 10728.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13483584 + 101606400 = 3672^2 + 10080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 772342 + ... + 772490.

Almost surely, 2^115089984 is an apocalyptic number.

115089984 is the 10728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115089984

115089984 is an abundant number, since it is smaller than the sum of its proper divisors (228377833).

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

115089984 is an frugal number, since it uses more digits than its factorization.

115089984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The cubic root of 115089984 is about 486.4212169011.

The spelling of 115089984 in words is "one hundred fifteen million, eighty-nine thousand, nine hundred eighty-four".