242664032 has 72 divisors (see below), whose sum is σ = 532502208. Its totient is φ = 108207360.

The previous prime is 242663987. The next prime is 242664043. The reversal of 242664032 is 230466242.

It is a junction number, because it is equal to n+sod(n) for n = 242663986 and 242664004.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 399473 + ... + 400079.

It is an arithmetic number, because the mean of its divisors is an integer number (7395864).

Almost surely, 2^242664032 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 242664032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266251104).

242664032 is an abundant number, since it is smaller than the sum of its proper divisors (289838176).

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

242664032 is a wasteful number, since it uses less digits than its factorization.

242664032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 242664032 is about 15577.6773621744. The cubic root of 242664032 is about 623.7374251384.

The spelling of 242664032 in words is "two hundred forty-two million, six hundred sixty-four thousand, thirty-two".