115407864 has 144 divisors (see below), whose sum is σ = 370351800. Its totient is φ = 32250240.

The previous prime is 115407857. The next prime is 115407869. The reversal of 115407864 is 468704511.

It is a happy number.

It is a super-3 number, since 3×115407864³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115407869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112747 + ... + 113765.

Almost surely, 2^115407864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115407864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185175900).

115407864 is an abundant number, since it is smaller than the sum of its proper divisors (254943936).

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

115407864 is a wasteful number, since it uses less digits than its factorization.

115407864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 115407864 is about 10742.8052202393. The cubic root of 115407864 is about 486.8686390882.

The spelling of 115407864 in words is "one hundred fifteen million, four hundred seven thousand, eight hundred sixty-four".