20164140 has 96 divisors (see below), whose sum is σ = 63645120. Its totient is φ = 5365440.

The previous prime is 20164139. The next prime is 20164147. The reversal of 20164140 is 4146102.

20164140 is a `hidden beast` number, since 20 + 1 + 641 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20164147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43510 + ... + 43970.

It is an arithmetic number, because the mean of its divisors is an integer number (662970).

Almost surely, 2^20164140 is an apocalyptic number.

20164140 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 20164140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31822560).

20164140 is an abundant number, since it is smaller than the sum of its proper divisors (43480980).

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

20164140 is an equidigital number, since it uses as much as digits as its factorization.

20164140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20164140 is about 4490.4498661047. The cubic root of 20164140 is about 272.1823136152.

The spelling of 20164140 in words is "twenty million, one hundred sixty-four thousand, one hundred forty".