22772664 has 80 divisors (see below), whose sum is σ = 64555920. Its totient is φ = 7499520.

The previous prime is 22772663. The next prime is 22772677. The reversal of 22772664 is 46627722.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22772663) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73069 + ... + 73379.

It is an arithmetic number, because the mean of its divisors is an integer number (806949).

Almost surely, 2^22772664 is an apocalyptic number.

22772664 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 22772664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32277960).

22772664 is an abundant number, since it is smaller than the sum of its proper divisors (41783256).

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

22772664 is a wasteful number, since it uses less digits than its factorization.

22772664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 429 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 22772664 is about 4772.0712484203. The cubic root of 22772664 is about 283.4466179829.

It can be divided in two parts, 22772 and 664, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 22772664 in words is "twenty-two million, seven hundred seventy-two thousand, six hundred sixty-four".