240833632 has 48 divisors (see below), whose sum is σ = 528247440. Its totient is φ = 107315712.

The previous prime is 240833599. The next prime is 240833639. The reversal of 240833632 is 236338042.

It is a super-2 number, since 2×240833632² = 116001676604622848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240833594 and 240833603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240833639) 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 7 ways as a sum of consecutive naturals, for example, 2083 + ... + 22045.

It is an arithmetic number, because the mean of its divisors is an integer number (11005155).

Almost surely, 2^240833632 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 240833632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264123720).

240833632 is an abundant number, since it is smaller than the sum of its proper divisors (287413808).

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

240833632 is a wasteful number, since it uses less digits than its factorization.

240833632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20015 (or 20007 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 240833632 is about 15518.8154187103. The cubic root of 240833632 is about 622.1651942821.

The spelling of 240833632 in words is "two hundred forty million, eight hundred thirty-three thousand, six hundred thirty-two".