16820034 has 64 divisors (see below), whose sum is σ = 42854400. Its totient is φ = 4362960.

The previous prime is 16820017. The next prime is 16820039. The reversal of 16820034 is 43002861.

It is a happy number.

It is a super-2 number, since 2×16820034² = 565827087522312, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 16819986 and 16820013.

It is not an unprimeable number, because it can be changed into a prime (16820039) 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, 22267 + ... + 23009.

It is an arithmetic number, because the mean of its divisors is an integer number (669600).

Almost surely, 2^16820034 is an apocalyptic number.

16820034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16820034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427200).

16820034 is an abundant number, since it is smaller than the sum of its proper divisors (26034366).

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

16820034 is a wasteful number, since it uses less digits than its factorization.

16820034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 16820034 is about 4101.2234759886. The cubic root of 16820034 is about 256.2175986000.

Adding to 16820034 its reverse (43002861), we get a palindrome (59822895).

It can be divided in two parts, 168 and 20034, that added together give a palindrome (20202).

The spelling of 16820034 in words is "sixteen million, eight hundred twenty thousand, thirty-four".