20966700 has 72 divisors (see below), whose sum is σ = 61996032. Its totient is φ = 5468480.

The previous prime is 20966689. The next prime is 20966707. The reversal of 20966700 is 766902.

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

It is not an unprimeable number, because it can be changed into a prime (20966707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13357 + ... + 14843.

It is an arithmetic number, because the mean of its divisors is an integer number (861056).

Almost surely, 2^20966700 is an apocalyptic number.

20966700 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 20966700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30998016).

20966700 is an abundant number, since it is smaller than the sum of its proper divisors (41029332).

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

20966700 is a wasteful number, since it uses less digits than its factorization.

20966700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 20966700 is about 4578.9409255853. The cubic root of 20966700 is about 275.7465116398.

The spelling of 20966700 in words is "twenty million, nine hundred sixty-six thousand, seven hundred".