22671880 has 128 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 6635520.

The previous prime is 22671853. The next prime is 22671889. The reversal of 22671880 is 8817622.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (22671889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52144 + ... + 52576.

It is an arithmetic number, because the mean of its divisors is an integer number (527310).

Almost surely, 2^22671880 is an apocalyptic number.

22671880 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 22671880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).

22671880 is an abundant number, since it is smaller than the sum of its proper divisors (44823800).

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

22671880 is a wasteful number, since it uses less digits than its factorization.

22671880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 22671880 is about 4761.4997637299. The cubic root of 22671880 is about 283.0278537681.

The spelling of 22671880 in words is "twenty-two million, six hundred seventy-one thousand, eight hundred eighty".