19875312 has 120 divisors (see below), whose sum is σ = 61629984. Its totient is φ = 5947392.

The previous prime is 19875301. The next prime is 19875319. The reversal of 19875312 is 21357891.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19875319) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 56128 + ... + 56480.

Almost surely, 2^19875312 is an apocalyptic number.

19875312 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 19875312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30814992).

19875312 is an abundant number, since it is smaller than the sum of its proper divisors (41754672).

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

19875312 is a wasteful number, since it uses less digits than its factorization.

19875312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 398 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 19875312 is about 4458.1736170768. The cubic root of 19875312 is about 270.8764931506.

It can be divided in two parts, 198753 and 12, that added together give a triangular number (198765 = T₆₃₀).

The spelling of 19875312 in words is "nineteen million, eight hundred seventy-five thousand, three hundred twelve".