20185080 has 64 divisors (see below), whose sum is σ = 61603200. Its totient is φ = 5289600.

The previous prime is 20185051. The next prime is 20185093. The reversal of 20185080 is 8058102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20185080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5655 + ... + 8505.

It is an arithmetic number, because the mean of its divisors is an integer number (962550).

Almost surely, 2^20185080 is an apocalyptic number.

20185080 is a gapful number since it is divisible by the number (20) 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 20185080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30801600).

20185080 is an abundant number, since it is smaller than the sum of its proper divisors (41418120).

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

20185080 is a wasteful number, since it uses less digits than its factorization.

20185080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 20185080 is about 4492.7808760277. The cubic root of 20185080 is about 272.2764993967.

It can be divided in two parts, 201850 and 80, that added together give a triangular number (201930 = T₆₃₅).

The spelling of 20185080 in words is "twenty million, one hundred eighty-five thousand, eighty".