184242240 has 672 divisors, whose sum is σ = 843198720. Its totient is φ = 35831808.

The previous prime is 184242127. The next prime is 184242251. The reversal of 184242240 is 42242481.

184242240 is a `hidden beast` number, since 18 + 424 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×184242240³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4979502 + ... + 4979538.

It is an arithmetic number, because the mean of its divisors is an integer number (1254760).

Almost surely, 2^184242240 is an apocalyptic number.

184242240 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 184242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421599360).

184242240 is an abundant number, since it is smaller than the sum of its proper divisors (658956480).

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

184242240 is a wasteful number, since it uses less digits than its factorization.

184242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 184242240 is about 13573.5861142146. The cubic root of 184242240 is about 569.0228873622.

The spelling of 184242240 in words is "one hundred eighty-four million, two hundred forty-two thousand, two hundred forty".