240667728 has 80 divisors (see below), whose sum is σ = 713335296. Its totient is φ = 68492160.

The previous prime is 240667727. The next prime is 240667729. The reversal of 240667728 is 827766042.

It is an interprime number because it is at equal distance from previous prime (240667727) and next prime (240667729).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 240667728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240667727) 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 15 ways as a sum of consecutive naturals, for example, 93823 + ... + 96353.

Almost surely, 2^240667728 is an apocalyptic number.

240667728 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 240667728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356667648).

240667728 is an abundant number, since it is smaller than the sum of its proper divisors (472667568).

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

240667728 is a wasteful number, since it uses less digits than its factorization.

240667728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 240667728 is about 15513.4692444985. The cubic root of 240667728 is about 622.0222970126.

The spelling of 240667728 in words is "two hundred forty million, six hundred sixty-seven thousand, seven hundred twenty-eight".