114097632 has 96 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 34206720.

The previous prime is 114097609. The next prime is 114097637. The reversal of 114097632 is 236790411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 114097593 and 114097602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114097637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108244 + ... + 109292.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^114097632 is an apocalyptic number.

114097632 is a gapful number since it is divisible by the number (12) 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 114097632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

114097632 is an abundant number, since it is smaller than the sum of its proper divisors (216123168).

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

114097632 is a wasteful number, since it uses less digits than its factorization.

114097632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 114097632 is about 10681.6493108508. The cubic root of 114097632 is about 485.0191397839.

The spelling of 114097632 in words is "one hundred fourteen million, ninety-seven thousand, six hundred thirty-two".