240727104 has 84 divisors (see below), whose sum is σ = 694113420. Its totient is φ = 79764480.

The previous prime is 240727073. The next prime is 240727129. The reversal of 240727104 is 401727042.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 83174400 + 157552704 = 9120^2 + 12552^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103102 + ... + 105410.

It is an arithmetic number, because the mean of its divisors is an integer number (8263255).

Almost surely, 2^240727104 is an apocalyptic number.

240727104 is a gapful number since it is divisible by the number (24) 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 240727104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347056710).

240727104 is an abundant number, since it is smaller than the sum of its proper divisors (453386316).

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

240727104 is a wasteful number, since it uses less digits than its factorization.

240727104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 240727104 is about 15515.3828183516. The cubic root of 240727104 is about 622.0734465918.

The spelling of 240727104 in words is "two hundred forty million, seven hundred twenty-seven thousand, one hundred four".