240099840 has 240 divisors, whose sum is σ = 881883288. Its totient is φ = 60162048.

The previous prime is 240099809. The next prime is 240099877. The reversal of 240099840 is 48990042.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 145154304 + 94945536 = 12048^2 + 9744^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 240099795 and 240099804.

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 23 ways as a sum of consecutive naturals, for example, 391374 + ... + 391986.

Almost surely, 2^240099840 is an apocalyptic number.

240099840 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 240099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440941644).

240099840 is an abundant number, since it is smaller than the sum of its proper divisors (641783448).

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

240099840 is a wasteful number, since it uses less digits than its factorization.

240099840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 240099840 is about 15495.1553719219. The cubic root of 240099840 is about 621.5326631589.

The spelling of 240099840 in words is "two hundred forty million, ninety-nine thousand, eight hundred forty".