114006592 has 56 divisors (see below), whose sum is σ = 266923520. Its totient is φ = 47278080.

The previous prime is 114006587. The next prime is 114006647. The reversal of 114006592 is 295600411.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 114006592.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9784 + ... + 17992.

Almost surely, 2^114006592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114006592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133461760).

114006592 is an abundant number, since it is smaller than the sum of its proper divisors (152916928).

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

114006592 is an equidigital number, since it uses as much as digits as its factorization.

114006592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8259 (or 8249 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 114006592 is about 10677.3869462523. The cubic root of 114006592 is about 484.8901044096.

The spelling of 114006592 in words is "one hundred fourteen million, six thousand, five hundred ninety-two".