115632480 has 192 divisors, whose sum is σ = 396748800. Its totient is φ = 28200960.

The previous prime is 115632479. The next prime is 115632481. The reversal of 115632480 is 84236511.

It is an interprime number because it is at equal distance from previous prime (115632479) and next prime (115632481).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115632481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282516 + ... + 282924.

It is an arithmetic number, because the mean of its divisors is an integer number (2066400).

Almost surely, 2^115632480 is an apocalyptic number.

115632480 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 115632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198374400).

115632480 is an abundant number, since it is smaller than the sum of its proper divisors (281116320).

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

115632480 is a wasteful number, since it uses less digits than its factorization.

115632480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 115632480 is about 10753.2543911134. The cubic root of 115632480 is about 487.1842952652.

Adding to 115632480 its reverse (84236511), we get a palindrome (199868991).

The spelling of 115632480 in words is "one hundred fifteen million, six hundred thirty-two thousand, four hundred eighty".