115386240 has 128 divisors (see below), whose sum is σ = 387273600. Its totient is φ = 29140992.

The previous prime is 115386223. The next prime is 115386251. The reversal of 115386240 is 42683511.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 115386198 and 115386207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34899 + ... + 38061.

It is an arithmetic number, because the mean of its divisors is an integer number (3025575).

Almost surely, 2^115386240 is an apocalyptic number.

115386240 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 115386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193636800).

115386240 is an abundant number, since it is smaller than the sum of its proper divisors (271887360).

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

115386240 is a wasteful number, since it uses less digits than its factorization.

115386240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 3192 counting only the distinct ones).

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

The square root of 115386240 is about 10741.7987320560. The cubic root of 115386240 is about 486.8382289564.

The spelling of 115386240 in words is "one hundred fifteen million, three hundred eighty-six thousand, two hundred forty".