22649920 has 56 divisors (see below), whose sum is σ = 55421784. Its totient is φ = 8810496.

The previous prime is 22649839. The next prime is 22649927. The reversal of 22649920 is 2994622.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10705984 + 11943936 = 3272^2 + 3456^2 .

It is not an unprimeable number, because it can be changed into a prime (22649927) 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, 10884 + ... + 12796.

Almost surely, 2^22649920 is an apocalyptic number.

22649920 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 22649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27710892).

22649920 is an abundant number, since it is smaller than the sum of its proper divisors (32771864).

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

22649920 is a wasteful number, since it uses less digits than its factorization.

22649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 22649920 is about 4759.1932089378. The cubic root of 22649920 is about 282.9364439179.

The spelling of 22649920 in words is "twenty-two million, six hundred forty-nine thousand, nine hundred twenty".