22760820 has 72 divisors (see below), whose sum is σ = 71285760. Its totient is φ = 5872320.

The previous prime is 22760819. The next prime is 22760821. The reversal of 22760820 is 2806722.

It is an interprime number because it is at equal distance from previous prime (22760819) and next prime (22760821).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22760821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3541 + ... + 7619.

It is an arithmetic number, because the mean of its divisors is an integer number (990080).

Almost surely, 2^22760820 is an apocalyptic number.

22760820 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 22760820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35642880).

22760820 is an abundant number, since it is smaller than the sum of its proper divisors (48524940).

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

22760820 is a wasteful number, since it uses less digits than its factorization.

22760820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 22760820 is about 4770.8301164472. The cubic root of 22760820 is about 283.3974695254.

The spelling of 22760820 in words is "twenty-two million, seven hundred sixty thousand, eight hundred twenty".