114963520 has 112 divisors (see below), whose sum is σ = 331378560. Its totient is φ = 37085184.

The previous prime is 114963479. The next prime is 114963521. The reversal of 114963520 is 25369411.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×114963520² = 26433221861580800, which contains 22 as substring.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (114963521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36571 + ... + 39589.

Almost surely, 2^114963520 is an apocalyptic number.

114963520 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 114963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165689280).

114963520 is an abundant number, since it is smaller than the sum of its proper divisors (216415040).

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

114963520 is a wasteful number, since it uses less digits than its factorization.

114963520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 114963520 is about 10722.1042710841. The cubic root of 114963520 is about 486.2429873229.

The spelling of 114963520 in words is "one hundred fourteen million, nine hundred sixty-three thousand, five hundred twenty".