22849632 has 144 divisors (see below), whose sum is σ = 74299680. Its totient is φ = 6598656.

The previous prime is 22849601. The next prime is 22849633. The reversal of 22849632 is 23694822.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22849633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63469 + ... + 63827.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 2^22849632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22849632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37149840).

22849632 is an abundant number, since it is smaller than the sum of its proper divisors (51450048).

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

22849632 is a wasteful number, since it uses less digits than its factorization.

22849632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 394 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 22849632 is about 4780.1288685557. The cubic root of 22849632 is about 283.7655937920.

The spelling of 22849632 in words is "twenty-two million, eight hundred forty-nine thousand, six hundred thirty-two".