21355080 has 64 divisors (see below), whose sum is σ = 64411200. Its totient is φ = 5664000.

The previous prime is 21355057. The next prime is 21355091. The reversal of 21355080 is 8055312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21355080.

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, 29766 + ... + 30474.

It is an arithmetic number, because the mean of its divisors is an integer number (1006425).

Almost surely, 2^21355080 is an apocalyptic number.

21355080 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 21355080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32205600).

21355080 is an abundant number, since it is smaller than the sum of its proper divisors (43056120).

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

21355080 is a wasteful number, since it uses less digits than its factorization.

21355080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 21355080 is about 4621.1556996059. The cubic root of 21355080 is about 277.4387170898.

The spelling of 21355080 in words is "twenty-one million, three hundred fifty-five thousand, eighty".