15820164 has 72 divisors (see below), whose sum is σ = 42547680. Its totient is φ = 5082912.

The previous prime is 15820139. The next prime is 15820169. The reversal of 15820164 is 46102851.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (15820169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147799 + ... + 147905.

It is an arithmetic number, because the mean of its divisors is an integer number (590940).

Almost surely, 2^15820164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15820164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21273840).

15820164 is an abundant number, since it is smaller than the sum of its proper divisors (26727516).

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

15820164 is a wasteful number, since it uses less digits than its factorization.

15820164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 15820164 is about 3977.4569765115. The cubic root of 15820164 is about 251.0365708104.

The spelling of 15820164 in words is "fifteen million, eight hundred twenty thousand, one hundred sixty-four".