22862880 has 72 divisors (see below), whose sum is σ = 78024492. Its totient is φ = 6096384.

The previous prime is 22862863. The next prime is 22862881. The reversal of 22862880 is 8826822.

22862880 is a `hidden beast` number, since 2 + 28 + 628 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20684304 + 2178576 = 4548^2 + 1476^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×22862880² = 1045422563788800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22862881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6499 + ... + 9378.

Almost surely, 2^22862880 is an apocalyptic number.

22862880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22862880 is an abundant number, since it is smaller than the sum of its proper divisors (55161612).

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

22862880 is a wasteful number, since it uses less digits than its factorization.

22862880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15898 (or 15887 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 22862880 is about 4781.5144044539. The cubic root of 22862880 is about 283.8204247302.

The spelling of 22862880 in words is "twenty-two million, eight hundred sixty-two thousand, eight hundred eighty".