33820140 has 96 divisors (see below), whose sum is σ = 101896704. Its totient is φ = 8350720.

The previous prime is 33820099. The next prime is 33820141. The reversal of 33820140 is 4102833.

It is a happy number.

It is a super-2 number, since 2×33820140² = 2287603739239200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33820141) 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, 72187 + ... + 72653.

It is an arithmetic number, because the mean of its divisors is an integer number (1061424).

Almost surely, 2^33820140 is an apocalyptic number.

33820140 is a gapful number since it is divisible by the number (30) 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 33820140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50948352).

33820140 is an abundant number, since it is smaller than the sum of its proper divisors (68076564).

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

33820140 is a wasteful number, since it uses less digits than its factorization.

33820140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 33820140 is about 5815.5085762124. The cubic root of 33820140 is about 323.3889183024.

Adding to 33820140 its reverse (4102833), we get a palindrome (37922973).

The spelling of 33820140 in words is "thirty-three million, eight hundred twenty thousand, one hundred forty".