115204640 has 48 divisors (see below), whose sum is σ = 274904280. Its totient is φ = 45619200.

The previous prime is 115204637. The next prime is 115204667. The reversal of 115204640 is 46402511.

It can be written as a sum of positive squares in 4 ways, for example, as 113976976 + 1227664 = 10676^2 + 1108^2 .

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, 12596 + ... + 19724.

Almost surely, 2^115204640 is an apocalyptic number.

115204640 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 115204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137452140).

115204640 is an abundant number, since it is smaller than the sum of its proper divisors (159699640).

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

115204640 is a wasteful number, since it uses less digits than its factorization.

115204640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7245 (or 7237 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 115204640 is about 10733.3424430603. The cubic root of 115204640 is about 486.5826922936.

The spelling of 115204640 in words is "one hundred fifteen million, two hundred four thousand, six hundred forty".