20610084 has 48 divisors (see below), whose sum is σ = 52799040. Its totient is φ = 6205440.

The previous prime is 20610059. The next prime is 20610089. The reversal of 20610084 is 48001602.

20610084 = 226² + 227² + ... + 418².

It is a self number, because there is not a number n which added to its sum of digits gives 20610084.

It is not an unprimeable number, because it can be changed into a prime (20610089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25072 + ... + 25880.

It is an arithmetic number, because the mean of its divisors is an integer number (1099980).

Almost surely, 2^20610084 is an apocalyptic number.

20610084 is the 2427-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20610084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26399520).

20610084 is an abundant number, since it is smaller than the sum of its proper divisors (32188956).

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

20610084 is a wasteful number, since it uses less digits than its factorization.

20610084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 20610084 is about 4539.8330365774. The cubic root of 20610084 is about 274.1742014766.

Adding to 20610084 its reverse (48001602), we get a palindrome (68611686).

The spelling of 20610084 in words is "twenty million, six hundred ten thousand, eighty-four".