240965712 has 160 divisors (see below), whose sum is σ = 753701760. Its totient is φ = 73267200.

The previous prime is 240965653. The next prime is 240965713. The reversal of 240965712 is 217569042.

240965712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240965713) 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 31 ways as a sum of consecutive naturals, for example, 600712 + ... + 601112.

It is an arithmetic number, because the mean of its divisors is an integer number (4710636).

Almost surely, 2^240965712 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 240965712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376850880).

240965712 is an abundant number, since it is smaller than the sum of its proper divisors (512736048).

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

240965712 is a wasteful number, since it uses less digits than its factorization.

240965712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 240965712 is about 15523.0703148572. The cubic root of 240965712 is about 622.2789111805.

It can be divided in two parts, 2409 and 65712, that added together give a square (68121 = 261²).

The spelling of 240965712 in words is "two hundred forty million, nine hundred sixty-five thousand, seven hundred twelve".