115824480 has 96 divisors (see below), whose sum is σ = 366799104. Its totient is φ = 30721536.

The previous prime is 115824479. The next prime is 115824487. The reversal of 115824480 is 84428511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115824487) 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, 108429 + ... + 109491.

It is an arithmetic number, because the mean of its divisors is an integer number (3820824).

Almost surely, 2^115824480 is an apocalyptic number.

115824480 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 115824480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183399552).

115824480 is an abundant number, since it is smaller than the sum of its proper divisors (250974624).

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

115824480 is a wasteful number, since it uses less digits than its factorization.

115824480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 115824480 is about 10762.1782181861. The cubic root of 115824480 is about 487.4537918070.

The spelling of 115824480 in words is "one hundred fifteen million, eight hundred twenty-four thousand, four hundred eighty".