115207920 has 200 divisors, whose sum is σ = 418071456. Its totient is φ = 29348352.

The previous prime is 115207903. The next prime is 115207921. The reversal of 115207920 is 29702511.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115207921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 148654 + ... + 149426.

Almost surely, 2^115207920 is an apocalyptic number.

115207920 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 115207920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209035728).

115207920 is an abundant number, since it is smaller than the sum of its proper divisors (302863536).

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

115207920 is a wasteful number, since it uses less digits than its factorization.

115207920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 115207920 is about 10733.4952368741. The cubic root of 115207920 is about 486.5873100940.

The spelling of 115207920 in words is "one hundred fifteen million, two hundred seven thousand, nine hundred twenty".