21676080 has 80 divisors (see below), whose sum is σ = 69040224. Its totient is φ = 5621760.

The previous prime is 21676033. The next prime is 21676091. The reversal of 21676080 is 8067612.

It is a happy number.

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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7660 + ... + 10100.

Almost surely, 2^21676080 is an apocalyptic number.

21676080 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 21676080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34520112).

21676080 is an abundant number, since it is smaller than the sum of its proper divisors (47364144).

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

21676080 is a wasteful number, since it uses less digits than its factorization.

21676080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 21676080 is about 4655.7577256554. The cubic root of 21676080 is about 278.8219210211.

The spelling of 21676080 in words is "twenty-one million, six hundred seventy-six thousand, eighty".