240363648 has 192 divisors, whose sum is σ = 810875520. Its totient is φ = 66908160.

The previous prime is 240363631. The next prime is 240363707. The reversal of 240363648 is 846363042.

It is a happy number.

240363648 is a `hidden beast` number, since 2 + 4 + 0 + 3 + 6 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 330261 + ... + 330987.

It is an arithmetic number, because the mean of its divisors is an integer number (4223310).

Almost surely, 2^240363648 is an apocalyptic number.

240363648 is a gapful number since it is divisible by the number (28) 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 240363648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405437760).

240363648 is an abundant number, since it is smaller than the sum of its proper divisors (570511872).

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

240363648 is a wasteful number, since it uses less digits than its factorization.

240363648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 240363648 is about 15503.6656310693. The cubic root of 240363648 is about 621.7602147107.

The spelling of 240363648 in words is "two hundred forty million, three hundred sixty-three thousand, six hundred forty-eight".