22829040 has 200 divisors, whose sum is σ = 85702848. Its totient is φ = 5598720.

The previous prime is 22829039. The next prime is 22829057. The reversal of 22829040 is 4092822.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22828995 and 22829013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84105 + ... + 84375.

Almost surely, 2^22829040 is an apocalyptic number.

22829040 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 22829040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42851424).

22829040 is an abundant number, since it is smaller than the sum of its proper divisors (62873808).

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

22829040 is a wasteful number, since it uses less digits than its factorization.

22829040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22829040 is about 4777.9744662357. The cubic root of 22829040 is about 283.6803253537.

The spelling of 22829040 in words is "twenty-two million, eight hundred twenty-nine thousand, forty".