22976000 has 80 divisors (see below), whose sum is σ = 57451680. Its totient is φ = 9164800.

The previous prime is 22975999. The next prime is 22976021. The reversal of 22976000 is 67922.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63821 + ... + 64179.

It is an arithmetic number, because the mean of its divisors is an integer number (718146).

Almost surely, 2^22976000 is an apocalyptic number.

22976000 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 22976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28725840).

22976000 is an abundant number, since it is smaller than the sum of its proper divisors (34475680).

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

22976000 is an frugal number, since it uses more digits than its factorization.

22976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 22976000 is about 4793.3286972625. The cubic root of 22976000 is about 284.2877464469.

The spelling of 22976000 in words is "twenty-two million, nine hundred seventy-six thousand".