115963320 has 128 divisors (see below), whose sum is σ = 386208000. Its totient is φ = 27617280.

The previous prime is 115963313. The next prime is 115963321. The reversal of 115963320 is 23369511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115963321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77136 + ... + 78624.

It is an arithmetic number, because the mean of its divisors is an integer number (3017250).

Almost surely, 2^115963320 is an apocalyptic number.

115963320 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 115963320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193104000).

115963320 is an abundant number, since it is smaller than the sum of its proper divisors (270244680).

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

115963320 is a wasteful number, since it uses less digits than its factorization.

115963320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 115963320 is about 10768.6266533853. The cubic root of 115963320 is about 487.6484859980.

It can be divided in two parts, 11 and 5963320, that added together give a triangular number (5963331 = T₃₄₅₃).

The spelling of 115963320 in words is "one hundred fifteen million, nine hundred sixty-three thousand, three hundred twenty".