16822080 has 280 divisors, whose sum is σ = 66385440. Its totient is φ = 4008960.

The previous prime is 16822037. The next prime is 16822097. The reversal of 16822080 is 8022861.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 285091 + ... + 285149.

Almost surely, 2^16822080 is an apocalyptic number.

16822080 is a gapful number since it is divisible by the number (10) 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 16822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33192720).

16822080 is an abundant number, since it is smaller than the sum of its proper divisors (49563360).

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

16822080 is a wasteful number, since it uses less digits than its factorization.

16822080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 16822080 is about 4101.4729061643. The cubic root of 16822080 is about 256.2279870045.

The spelling of 16822080 in words is "sixteen million, eight hundred twenty-two thousand, eighty".