19820052 has 84 divisors (see below), whose sum is σ = 59494176. Its totient is φ = 5657040.

The previous prime is 19820027. The next prime is 19820057. The reversal of 19820052 is 25002891.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×19820052² = 785668922565408, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 19819998 and 19820025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19820057) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 19927 + ... + 20897.

It is an arithmetic number, because the mean of its divisors is an integer number (708264).

Almost surely, 2^19820052 is an apocalyptic number.

19820052 is a gapful number since it is divisible by the number (12) 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 19820052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29747088).

19820052 is an abundant number, since it is smaller than the sum of its proper divisors (39674124).

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

19820052 is an equidigital number, since it uses as much as digits as its factorization.

19820052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 19820052 is about 4451.9716980232. The cubic root of 19820052 is about 270.6252177815.

The spelling of 19820052 in words is "nineteen million, eight hundred twenty thousand, fifty-two".