20164040 has 64 divisors (see below), whose sum is σ = 51755760. Its totient is φ = 7004160.

The previous prime is 20164013. The next prime is 20164049. The reversal of 20164040 is 4046102.

It can be written as a sum of positive squares in 8 ways, for example, as 8726116 + 11437924 = 2954^2 + 3382^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (20164049) 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 15 ways as a sum of consecutive naturals, for example, 7700 + ... + 9980.

Almost surely, 2^20164040 is an apocalyptic number.

20164040 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 20164040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25877880).

20164040 is an abundant number, since it is smaller than the sum of its proper divisors (31591720).

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

20164040 is a wasteful number, since it uses less digits than its factorization.

20164040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 20164040 is about 4490.4387313491. The cubic root of 20164040 is about 272.1818636700.

It can be divided in two parts, 201640 and 40, that multiplied together give a square (8065600 = 2840²).

The spelling of 20164040 in words is "twenty million, one hundred sixty-four thousand, forty".