21164000 has 192 divisors, whose sum is σ = 62741952. Its totient is φ = 6912000.

The previous prime is 21163999. The next prime is 21164029. The reversal of 21164000 is 46112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571982 + ... + 572018.

It is an arithmetic number, because the mean of its divisors is an integer number (326781).

Almost surely, 2^21164000 is an apocalyptic number.

21164000 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 21164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31370976).

21164000 is an abundant number, since it is smaller than the sum of its proper divisors (41577952).

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

21164000 is a wasteful number, since it uses less digits than its factorization.

21164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 21164000 is about 4600.4347620633. The cubic root of 21164000 is about 276.6087522524.

It can be divided in two parts, 2116 and 4000, that added together give a palindrome (6116).

The spelling of 21164000 in words is "twenty-one million, one hundred sixty-four thousand".