21058800 has 240 divisors, whose sum is σ = 81185280. Its totient is φ = 4561920.

The previous prime is 21058787. The next prime is 21058819. The reversal of 21058800 is 885012.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 193146 + ... + 193254.

It is an arithmetic number, because the mean of its divisors is an integer number (338272).

Almost surely, 2^21058800 is an apocalyptic number.

21058800 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 21058800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40592640).

21058800 is an abundant number, since it is smaller than the sum of its proper divisors (60126480).

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

21058800 is a wasteful number, since it uses less digits than its factorization.

21058800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 21058800 is about 4588.9868162809. The cubic root of 21058800 is about 276.1496772681.

The spelling of 21058800 in words is "twenty-one million, fifty-eight thousand, eight hundred".