22720768 has 72 divisors (see below), whose sum is σ = 53634560. Its totient is φ = 9400320.

The previous prime is 22720759. The next prime is 22720777. The reversal of 22720768 is 86702722.

It is an interprime number because it is at equal distance from previous prime (22720759) and next prime (22720777).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55348 + ... + 55756.

Almost surely, 2^22720768 is an apocalyptic number.

22720768 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 22720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26817280).

22720768 is an abundant number, since it is smaller than the sum of its proper divisors (30913792).

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

22720768 is an equidigital number, since it uses as much as digits as its factorization.

22720768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 22720768 is about 4766.6306758548. The cubic root of 22720768 is about 283.2311413083.

It can be divided in two parts, 22 and 720768, that multiplied together give a triangular number (15856896 = T₅₆₃₁).

The spelling of 22720768 in words is "twenty-two million, seven hundred twenty thousand, seven hundred sixty-eight".