115934784 has 84 divisors (see below), whose sum is σ = 356853744. Its totient is φ = 33121536.

The previous prime is 115934729. The next prime is 115934807. The reversal of 115934784 is 487439511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×115934784² = 26881748282253312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3247 + ... + 15569.

Almost surely, 2^115934784 is an apocalyptic number.

115934784 is a gapful number since it is divisible by the number (14) 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 115934784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178426872).

115934784 is an abundant number, since it is smaller than the sum of its proper divisors (240918960).

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

115934784 is a wasteful number, since it uses less digits than its factorization.

115934784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12352 (or 12335 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 115934784 is about 10767.3016118246. The cubic root of 115934784 is about 487.6084828925.

The spelling of 115934784 in words is "one hundred fifteen million, nine hundred thirty-four thousand, seven hundred eighty-four".