16164820 has 96 divisors (see below), whose sum is σ = 41932800. Its totient is φ = 5111424.

The previous prime is 16164793. The next prime is 16164821. The reversal of 16164820 is 2846161.

It is a super-2 number, since 2×16164820² = 522602811264800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16164821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156889 + ... + 156991.

It is an arithmetic number, because the mean of its divisors is an integer number (436800).

Almost surely, 2^16164820 is an apocalyptic number.

16164820 is a gapful number since it is divisible by the number (10) 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 16164820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20966400).

16164820 is an abundant number, since it is smaller than the sum of its proper divisors (25767980).

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

16164820 is a wasteful number, since it uses less digits than its factorization.

16164820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 16164820 is about 4020.5497136586. The cubic root of 16164820 is about 252.8465065923.

It can be divided in two parts, 16 and 164820, that added together give a square (164836 = 406²).

The spelling of 16164820 in words is "sixteen million, one hundred sixty-four thousand, eight hundred twenty".