114892240 has 80 divisors (see below), whose sum is σ = 283821120. Its totient is φ = 43130880.

The previous prime is 114892237. The next prime is 114892279. The reversal of 114892240 is 42298411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198832 + ... + 199408.

It is an arithmetic number, because the mean of its divisors is an integer number (3547764).

Almost surely, 2^114892240 is an apocalyptic number.

114892240 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 114892240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141910560).

114892240 is an abundant number, since it is smaller than the sum of its proper divisors (168928880).

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

114892240 is a wasteful number, since it uses less digits than its factorization.

114892240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 114892240 is about 10718.7797812997. The cubic root of 114892240 is about 486.1424726385.

The spelling of 114892240 in words is "one hundred fourteen million, eight hundred ninety-two thousand, two hundred forty".