21146800 has 60 divisors (see below), whose sum is σ = 52585920. Its totient is φ = 8162560.

The previous prime is 21146789. The next prime is 21146803. The reversal of 21146800 is 864112.

It is not an unprimeable number, because it can be changed into a prime (21146803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10689 + ... + 12511.

It is an arithmetic number, because the mean of its divisors is an integer number (876432).

Almost surely, 2^21146800 is an apocalyptic number.

21146800 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 21146800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26292960).

21146800 is an abundant number, since it is smaller than the sum of its proper divisors (31439120).

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

21146800 is a wasteful number, since it uses less digits than its factorization.

21146800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 21146800 is about 4598.5649935605. The cubic root of 21146800 is about 276.5337985579.

The spelling of 21146800 in words is "twenty-one million, one hundred forty-six thousand, eight hundred".