21858000 has 80 divisors (see below), whose sum is σ = 70489536. Its totient is φ = 5827200.

The previous prime is 21857993. The next prime is 21858017. The reversal of 21858000 is 85812.

It is a tau number, because it is divible by the number of its divisors (80).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4179 + ... + 7821.

Almost surely, 2^21858000 is an apocalyptic number.

21858000 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 21858000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35244768).

21858000 is an abundant number, since it is smaller than the sum of its proper divisors (48631536).

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

21858000 is a wasteful number, since it uses less digits than its factorization.

21858000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669 (or 3653 counting only the distinct ones).

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

The square root of 21858000 is about 4675.2540037949. The cubic root of 21858000 is about 279.5997683179.

The spelling of 21858000 in words is "twenty-one million, eight hundred fifty-eight thousand".