22880736 has 72 divisors (see below), whose sum is σ = 66339000. Its totient is φ = 7478016.

The previous prime is 22880723. The next prime is 22880749. The reversal of 22880736 is 63708822.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22880723) and next prime (22880749).

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22880736.

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 11 ways as a sum of consecutive naturals, for example, 14515 + ... + 16013.

It is an arithmetic number, because the mean of its divisors is an integer number (921375).

Almost surely, 2^22880736 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 22880736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33169500).

22880736 is an abundant number, since it is smaller than the sum of its proper divisors (43458264).

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

22880736 is a wasteful number, since it uses less digits than its factorization.

22880736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 22880736 is about 4783.3812308868. The cubic root of 22880736 is about 283.8942937955.

The spelling of 22880736 in words is "twenty-two million, eight hundred eighty thousand, seven hundred thirty-six".