115261440 has 240 divisors, whose sum is σ = 427805952. Its totient is φ = 25952256.

The previous prime is 115261439. The next prime is 115261451. The reversal of 115261440 is 44162511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 115261440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1720287 + ... + 1720353.

Almost surely, 2^115261440 is an apocalyptic number.

115261440 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 115261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213902976).

115261440 is an abundant number, since it is smaller than the sum of its proper divisors (312544512).

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

115261440 is an frugal number, since it uses more digits than its factorization.

115261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 115261440 is about 10735.9880774897. The cubic root of 115261440 is about 486.6626467006.

The spelling of 115261440 in words is "one hundred fifteen million, two hundred sixty-one thousand, four hundred forty".