22772640 has 192 divisors, whose sum is σ = 82736640. Its totient is φ = 5207040.

The previous prime is 22772591. The next prime is 22772641. The reversal of 22772640 is 4627722.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22772598 and 22772607.

It is not an unprimeable number, because it can be changed into a prime (22772641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100207 + ... + 100433.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 2^22772640 is an apocalyptic number.

22772640 is a gapful number since it is divisible by the number (20) 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 22772640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41368320).

22772640 is an abundant number, since it is smaller than the sum of its proper divisors (59964000).

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

22772640 is a wasteful number, since it uses less digits than its factorization.

22772640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 22772640 is about 4772.0687337883. The cubic root of 22772640 is about 283.4465184085.

The spelling of 22772640 in words is "twenty-two million, seven hundred seventy-two thousand, six hundred forty".