115016720 has 240 divisors, whose sum is σ = 349696368. Its totient is φ = 34836480.

The previous prime is 115016717. The next prime is 115016723. The reversal of 115016720 is 27610511.

It is an interprime number because it is at equal distance from previous prime (115016717) and next prime (115016723).

It can be written as a sum of positive squares in 8 ways, for example, as 12845056 + 102171664 = 3584^2 + 10108^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115016723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1885490 + ... + 1885550.

Almost surely, 2^115016720 is an apocalyptic number.

115016720 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 115016720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174848184).

115016720 is an abundant number, since it is smaller than the sum of its proper divisors (234679648).

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

115016720 is a wasteful number, since it uses less digits than its factorization.

115016720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 115016720 is about 10724.5848404495. The cubic root of 115016720 is about 486.3179796270.

The spelling of 115016720 in words is "one hundred fifteen million, sixteen thousand, seven hundred twenty".