115767040 has 72 divisors (see below), whose sum is σ = 279619200. Its totient is φ = 45920256.

The previous prime is 115767037. The next prime is 115767053. The reversal of 115767040 is 40767511.

It is a junction number, because it is equal to n+sod(n) for n = 115766993 and 115767011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190417 + ... + 191023.

It is an arithmetic number, because the mean of its divisors is an integer number (3883600).

Almost surely, 2^115767040 is an apocalyptic number.

115767040 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 115767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139809600).

115767040 is an abundant number, since it is smaller than the sum of its proper divisors (163852160).

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

115767040 is an equidigital number, since it uses as much as digits as its factorization.

115767040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 115767040 is about 10759.5092824905. The cubic root of 115767040 is about 487.3731986670.

The spelling of 115767040 in words is "one hundred fifteen million, seven hundred sixty-seven thousand, forty".