240921216 has 160 divisors (see below), whose sum is σ = 755330400. Its totient is φ = 76018176.

The previous prime is 240921211. The next prime is 240921221. The reversal of 240921216 is 612129042.

It is an interprime number because it is at equal distance from previous prime (240921211) and next prime (240921221).

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

It is a self number, because there is not a number n which added to its sum of digits gives 240921216.

It is not an unprimeable number, because it can be changed into a prime (240921211) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 196381 + ... + 197603.

It is an arithmetic number, because the mean of its divisors is an integer number (4720815).

Almost surely, 2^240921216 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 240921216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377665200).

240921216 is an abundant number, since it is smaller than the sum of its proper divisors (514409184).

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

240921216 is a wasteful number, since it uses less digits than its factorization.

240921216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 240921216 is about 15521.6370270664. The cubic root of 240921216 is about 622.2406061084.

The spelling of 240921216 in words is "two hundred forty million, nine hundred twenty-one thousand, two hundred sixteen".