22945680 has 100 divisors (see below), whose sum is σ = 79716252. Its totient is φ = 6117120.

The previous prime is 22945679. The next prime is 22945687. The reversal of 22945680 is 8654922.

It is a happy number.

22945680 is a `hidden beast` number, since 2 + 2 + 94 + 568 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8928144 + 14017536 = 2988^2 + 3744^2 .

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 (22945687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4710 + ... + 8250.

Almost surely, 2^22945680 is an apocalyptic number.

22945680 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 22945680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39858126).

22945680 is an abundant number, since it is smaller than the sum of its proper divisors (56770572).

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

22945680 is a wasteful number, since it uses less digits than its factorization.

22945680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3566 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 22945680 is about 4790.1649240919. The cubic root of 22945680 is about 284.1626391053.

The spelling of 22945680 in words is "twenty-two million, nine hundred forty-five thousand, six hundred eighty".