240822720 has 336 divisors, whose sum is σ = 909767040. Its totient is φ = 60466176.

The previous prime is 240822713. The next prime is 240822727. The reversal of 240822720 is 27228042.

It is an interprime number because it is at equal distance from previous prime (240822713) and next prime (240822727).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240822727) 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 47 ways as a sum of consecutive naturals, for example, 1477359 + ... + 1477521.

It is an arithmetic number, because the mean of its divisors is an integer number (2707640).

Almost surely, 2^240822720 is an apocalyptic number.

240822720 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 240822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454883520).

240822720 is an abundant number, since it is smaller than the sum of its proper divisors (668944320).

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

240822720 is a wasteful number, since it uses less digits than its factorization.

240822720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 240822720 is about 15518.4638415018. The cubic root of 240822720 is about 622.1557975199.

The spelling of 240822720 in words is "two hundred forty million, eight hundred twenty-two thousand, seven hundred twenty".