22829680 has 40 divisors (see below), whose sum is σ = 53492112. Its totient is φ = 9060864.

The previous prime is 22829669. The next prime is 22829683. The reversal of 22829680 is 8692822.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22829683) 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, 9919 + ... + 12001.

Almost surely, 2^22829680 is an apocalyptic number.

22829680 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 22829680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26746056).

22829680 is an abundant number, since it is smaller than the sum of its proper divisors (30662432).

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

22829680 is a wasteful number, since it uses less digits than its factorization.

22829680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 22829680 is about 4778.0414397533. The cubic root of 22829680 is about 283.6829762713.

The spelling of 22829680 in words is "twenty-two million, eight hundred twenty-nine thousand, six hundred eighty".