22846800 has 120 divisors (see below), whose sum is σ = 74419840. Its totient is φ = 5990400.

The previous prime is 22846729. The next prime is 22846819. The reversal of 22846800 is 864822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94680 + ... + 94920.

Almost surely, 2^22846800 is an apocalyptic number.

22846800 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 22846800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37209920).

22846800 is an abundant number, since it is smaller than the sum of its proper divisors (51573040).

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

22846800 is a wasteful number, since it uses less digits than its factorization.

22846800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 22846800 is about 4779.8326330532. The cubic root of 22846800 is about 283.7538699363.

The spelling of 22846800 in words is "twenty-two million, eight hundred forty-six thousand, eight hundred".