114592240 has 80 divisors (see below), whose sum is σ = 322425792. Its totient is φ = 36974592.

The previous prime is 114592199. The next prime is 114592241. The reversal of 114592240 is 42295411.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 114592199 and 114592208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114592241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3502 + ... + 15538.

Almost surely, 2^114592240 is an apocalyptic number.

114592240 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 114592240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161212896).

114592240 is an abundant number, since it is smaller than the sum of its proper divisors (207833552).

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

114592240 is a wasteful number, since it uses less digits than its factorization.

114592240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12074 (or 12068 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 114592240 is about 10704.7765039724. The cubic root of 114592240 is about 485.7189747446.

The spelling of 114592240 in words is "one hundred fourteen million, five hundred ninety-two thousand, two hundred forty".