22770960 has 80 divisors (see below), whose sum is σ = 71543040. Its totient is φ = 5990400.

The previous prime is 22770959. The next prime is 22770961. The reversal of 22770960 is 6907722.

It is an interprime number because it is at equal distance from previous prime (22770959) and next prime (22770961).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (22770961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18360 + ... + 19560.

It is an arithmetic number, because the mean of its divisors is an integer number (894288).

Almost surely, 2^22770960 is an apocalyptic number.

22770960 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 22770960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35771520).

22770960 is an abundant number, since it is smaller than the sum of its proper divisors (48772080).

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

22770960 is a wasteful number, since it uses less digits than its factorization.

22770960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 22770960 is about 4771.8927062540. The cubic root of 22770960 is about 283.4395480286.

The spelling of 22770960 in words is "twenty-two million, seven hundred seventy thousand, nine hundred sixty".