20967000 has 128 divisors (see below), whose sum is σ = 67953600. Its totient is φ = 5376000.

The previous prime is 20966993. The next prime is 20967041. The reversal of 20967000 is 76902.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 86880 + ... + 87120.

Almost surely, 2^20967000 is an apocalyptic number.

20967000 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 20967000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33976800).

20967000 is an abundant number, since it is smaller than the sum of its proper divisors (46986600).

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

20967000 is a wasteful number, since it uses less digits than its factorization.

20967000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 20967000 is about 4578.9736841349. The cubic root of 20967000 is about 275.7478267977.

The spelling of 20967000 in words is "twenty million, nine hundred sixty-seven thousand".