22862080 has 72 divisors (see below), whose sum is σ = 55960632. Its totient is φ = 8945664.

The previous prime is 22862029. The next prime is 22862083. The reversal of 22862080 is 8026822.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2214144 + 20647936 = 1488^2 + 4544^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (22862083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67672 + ... + 68008.

It is an arithmetic number, because the mean of its divisors is an integer number (777231).

Almost surely, 2^22862080 is an apocalyptic number.

22862080 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 22862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27980316).

22862080 is an abundant number, since it is smaller than the sum of its proper divisors (33098552).

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

22862080 is an equidigital number, since it uses as much as digits as its factorization.

22862080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 22862080 is about 4781.4307482175. The cubic root of 22862080 is about 283.8171142842.

The spelling of 22862080 in words is "twenty-two million, eight hundred sixty-two thousand, eighty".