22766000 has 40 divisors (see below), whose sum is σ = 55053024. Its totient is φ = 9105600.

The previous prime is 22765979. The next prime is 22766011. The reversal of 22766000 is 66722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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, 3692 + ... + 7691.

Almost surely, 2^22766000 is an apocalyptic number.

22766000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22766000 is an abundant number, since it is smaller than the sum of its proper divisors (32287024).

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

22766000 is a wasteful number, since it uses less digits than its factorization.

22766000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11406 (or 11390 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 22766000 is about 4771.3729680250. The cubic root of 22766000 is about 283.4189668110.

The spelling of 22766000 in words is "twenty-two million, seven hundred sixty-six thousand".