240536640 has 112 divisors (see below), whose sum is σ = 774679680. Its totient is φ = 63221760.

The previous prime is 240536629. The next prime is 240536641. The reversal of 240536640 is 46635042.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 240536598 and 240536607.

It is not an unprimeable number, because it can be changed into a prime (240536641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 66396 + ... + 69924.

Almost surely, 2^240536640 is an apocalyptic number.

240536640 is a gapful number since it is divisible by the number (20) 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 240536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387339840).

240536640 is an abundant number, since it is smaller than the sum of its proper divisors (534143040).

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

240536640 is a wasteful number, since it uses less digits than its factorization.

240536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 240536640 is about 15509.2436952935. The cubic root of 240536640 is about 621.9093411841.

The spelling of 240536640 in words is "two hundred forty million, five hundred thirty-six thousand, six hundred forty".