19605972 has 48 divisors (see below), whose sum is σ = 48263040. Its totient is φ = 6185088.

The previous prime is 19605923. The next prime is 19605997. The reversal of 19605972 is 27950691.

It is a self number, because there is not a number n which added to its sum of digits gives 19605972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17913 + ... + 18975.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^19605972 is an apocalyptic number.

19605972 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 19605972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520).

19605972 is an abundant number, since it is smaller than the sum of its proper divisors (28657068).

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

19605972 is a wasteful number, since it uses less digits than its factorization.

19605972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 19605972 is about 4427.8631415165. The cubic root of 19605972 is about 269.6473310462.

The spelling of 19605972 in words is "nineteen million, six hundred five thousand, nine hundred seventy-two".