22432560 has 80 divisors (see below), whose sum is σ = 70114560. Its totient is φ = 5932800.

The previous prime is 22432547. The next prime is 22432577. The reversal of 22432560 is 6523422.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22432560.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35931 + ... + 36549.

It is an arithmetic number, because the mean of its divisors is an integer number (876432).

Almost surely, 2^22432560 is an apocalyptic number.

22432560 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 22432560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35057280).

22432560 is an abundant number, since it is smaller than the sum of its proper divisors (47682000).

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

22432560 is a wasteful number, since it uses less digits than its factorization.

22432560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 22432560 is about 4736.3023552134. The cubic root of 22432560 is about 282.0284665192.

Adding to 22432560 its reverse (6523422), we get a palindrome (28955982).

The spelling of 22432560 in words is "twenty-two million, four hundred thirty-two thousand, five hundred sixty".