21420600 has 96 divisors (see below), whose sum is σ = 69936000. Its totient is φ = 5408640.

The previous prime is 21420587. The next prime is 21420643. The reversal of 21420600 is 602412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21420600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10461 + ... + 12339.

It is an arithmetic number, because the mean of its divisors is an integer number (728500).

Almost surely, 2^21420600 is an apocalyptic number.

21420600 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 21420600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34968000).

21420600 is an abundant number, since it is smaller than the sum of its proper divisors (48515400).

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

21420600 is a wasteful number, since it uses less digits than its factorization.

21420600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 21420600 is about 4628.2394060809. The cubic root of 21420600 is about 277.7221660523.

The spelling of 21420600 in words is "twenty-one million, four hundred twenty thousand, six hundred".