22790880 has 432 divisors, whose sum is σ = 100835280. Its totient is φ = 4644864.

The previous prime is 22790879. The next prime is 22790917. The reversal of 22790880 is 8809722.

22790880 = 42³ + 43³ + ... + 98³.

It is a super-2 number, since 2×22790880² = 1038848422348800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1199511 + ... + 1199529.

It is an arithmetic number, because the mean of its divisors is an integer number (233415).

Almost surely, 2^22790880 is an apocalyptic number.

22790880 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 22790880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50417640).

22790880 is an abundant number, since it is smaller than the sum of its proper divisors (78044400).

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

22790880 is a wasteful number, since it uses less digits than its factorization.

22790880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 22790880 is about 4773.9794720966. The cubic root of 22790880 is about 283.5221747630.

The spelling of 22790880 in words is "twenty-two million, seven hundred ninety thousand, eight hundred eighty".