115950540 has 192 divisors, whose sum is σ = 375459840. Its totient is φ = 26542080.

The previous prime is 115950533. The next prime is 115950547. The reversal of 115950540 is 45059511.

It is an interprime number because it is at equal distance from previous prime (115950533) and next prime (115950547).

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 = 115950498 and 115950507.

It is not an unprimeable number, because it can be changed into a prime (115950547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 600684 + ... + 600876.

It is an arithmetic number, because the mean of its divisors is an integer number (1955520).

Almost surely, 2^115950540 is an apocalyptic number.

115950540 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 115950540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187729920).

115950540 is an abundant number, since it is smaller than the sum of its proper divisors (259509300).

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

115950540 is a wasteful number, since it uses less digits than its factorization.

115950540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The square root of 115950540 is about 10768.0332466054. The cubic root of 115950540 is about 487.6305712050.

The spelling of 115950540 in words is "one hundred fifteen million, nine hundred fifty thousand, five hundred forty".