21088080 has 160 divisors (see below), whose sum is σ = 78328320. Its totient is φ = 5184000.

The previous prime is 21088069. The next prime is 21088087. The reversal of 21088080 is 8088012.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (21088087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27705 + ... + 28455.

It is an arithmetic number, because the mean of its divisors is an integer number (489552).

Almost surely, 2^21088080 is an apocalyptic number.

21088080 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 21088080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39164160).

21088080 is an abundant number, since it is smaller than the sum of its proper divisors (57240240).

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

21088080 is a wasteful number, since it uses less digits than its factorization.

21088080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 21088080 is about 4592.1759548171. The cubic root of 21088080 is about 276.2776034878.

The spelling of 21088080 in words is "twenty-one million, eighty-eight thousand, eighty".