21358080 has 200 divisors, whose sum is σ = 77240592. Its totient is φ = 5640192.

The previous prime is 21358079. The next prime is 21358087. The reversal of 21358080 is 8085312.

It is a happy number.

21358080 is a `hidden beast` number, since 2 + 1 + 3 + 580 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21358087) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207309 + ... + 207411.

Almost surely, 2^21358080 is an apocalyptic number.

21358080 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 21358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38620296).

21358080 is an abundant number, since it is smaller than the sum of its proper divisors (55882512).

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

21358080 is an equidigital number, since it uses as much as digits as its factorization.

21358080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 21358080 is about 4621.4802823338. The cubic root of 21358080 is about 277.4517081780.

The spelling of 21358080 in words is "twenty-one million, three hundred fifty-eight thousand, eighty".