115431760 has 40 divisors (see below), whose sum is σ = 270775080. Its totient is φ = 45764096.

The previous prime is 115431731. The next prime is 115431773. The reversal of 115431760 is 67134511.

It can be written as a sum of positive squares in 4 ways, for example, as 86787856 + 28643904 = 9316^2 + 5352^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1021464 + ... + 1021576.

It is an arithmetic number, because the mean of its divisors is an integer number (6769377).

Almost surely, 2^115431760 is an apocalyptic number.

115431760 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 115431760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135387540).

115431760 is an abundant number, since it is smaller than the sum of its proper divisors (155343320).

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

115431760 is an frugal number, since it uses more digits than its factorization.

115431760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 115431760 is about 10743.9173489003. The cubic root of 115431760 is about 486.9022399472.

The spelling of 115431760 in words is "one hundred fifteen million, four hundred thirty-one thousand, seven hundred sixty".