22896000 has 256 divisors, whose sum is σ = 85924800. Its totient is φ = 5990400.

The previous prime is 22895987. The next prime is 22896019. The reversal of 22896000 is 69822.

22896000 = 105³ + 106³ + ... + 120³.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431974 + ... + 432026.

Almost surely, 2^22896000 is an apocalyptic number.

22896000 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 22896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42962400).

22896000 is an abundant number, since it is smaller than the sum of its proper divisors (63028800).

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

22896000 is an equidigital number, since it uses as much as digits as its factorization.

22896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 22896000 is about 4784.9764889705. The cubic root of 22896000 is about 283.9574094698.

The spelling of 22896000 in words is "twenty-two million, eight hundred ninety-six thousand".