114663936 has 80 divisors (see below), whose sum is σ = 321631200. Its totient is φ = 36200448.

The previous prime is 114663889. The next prime is 114663937. The reversal of 114663936 is 639366411.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 114663894 and 114663903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114663937) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27220 + ... + 31148.

It is an arithmetic number, because the mean of its divisors is an integer number (4020390).

Almost surely, 2^114663936 is an apocalyptic number.

114663936 is a gapful number since it is divisible by the number (16) 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 114663936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160815600).

114663936 is an abundant number, since it is smaller than the sum of its proper divisors (206967264).

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

114663936 is an equidigital number, since it uses as much as digits as its factorization.

114663936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969 (or 3953 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 114663936 is about 10708.1247658028. The cubic root of 114663936 is about 485.8202522466.

The spelling of 114663936 in words is "one hundred fourteen million, six hundred sixty-three thousand, nine hundred thirty-six".