16442820 has 72 divisors (see below), whose sum is σ = 50266944. Its totient is φ = 4350528.

The previous prime is 16442807. The next prime is 16442821. The reversal of 16442820 is 2824461.

It is a super-3 number, since 3×16442820³ (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16442821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29787 + ... + 30333.

It is an arithmetic number, because the mean of its divisors is an integer number (698152).

Almost surely, 2^16442820 is an apocalyptic number.

16442820 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 16442820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25133472).

16442820 is an abundant number, since it is smaller than the sum of its proper divisors (33824124).

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

16442820 is a wasteful number, since it uses less digits than its factorization.

16442820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 16442820 is about 4054.9747224859. The cubic root of 16442820 is about 254.2877471417.

The spelling of 16442820 in words is "sixteen million, four hundred forty-two thousand, eight hundred twenty".