19485564 has 96 divisors (see below), whose sum is σ = 56716800. Its totient is φ = 5080320.

The previous prime is 19485539. The next prime is 19485581. The reversal of 19485564 is 46558491.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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, 46074 + ... + 46494.

It is an arithmetic number, because the mean of its divisors is an integer number (590800).

Almost surely, 2^19485564 is an apocalyptic number.

19485564 is a gapful number since it is divisible by the number (14) 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 19485564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28358400).

19485564 is an abundant number, since it is smaller than the sum of its proper divisors (37231236).

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

19485564 is a wasteful number, since it uses less digits than its factorization.

19485564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 481 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 19485564 is about 4414.2455754070. The cubic root of 19485564 is about 269.0941936453.

It can be divided in two parts, 194 and 85564, that added together give a palindrome (85758).

The spelling of 19485564 in words is "nineteen million, four hundred eighty-five thousand, five hundred sixty-four".