22764864 has 56 divisors (see below), whose sum is σ = 60736480. Its totient is φ = 7524864.

The previous prime is 22764839. The next prime is 22764893. The reversal of 22764864 is 46846722.

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, 26262 + ... + 27114.

It is an arithmetic number, because the mean of its divisors is an integer number (1084580).

Almost surely, 2^22764864 is an apocalyptic number.

22764864 is a gapful number since it is divisible by the number (24) 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 22764864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30368240).

22764864 is an abundant number, since it is smaller than the sum of its proper divisors (37971616).

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

22764864 is a wasteful number, since it uses less digits than its factorization.

22764864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 997 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 22764864 is about 4771.2539232365. The cubic root of 22764864 is about 283.4142526276.

It can be divided in two parts, 2276 and 4864, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 22764864 in words is "twenty-two million, seven hundred sixty-four thousand, eight hundred sixty-four".