19873152 has 96 divisors (see below), whose sum is σ = 61632480. Its totient is φ = 6110208.

The previous prime is 19873141. The next prime is 19873177. The reversal of 19873152 is 25137891.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14313 + ... + 15639.

It is an arithmetic number, because the mean of its divisors is an integer number (642005).

Almost surely, 2^19873152 is an apocalyptic number.

19873152 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 19873152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30816240).

19873152 is an abundant number, since it is smaller than the sum of its proper divisors (41759328).

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

19873152 is a wasteful number, since it uses less digits than its factorization.

19873152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1345 counting only the distinct ones).

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

The square root of 19873152 is about 4457.9313588255. The cubic root of 19873152 is about 270.8666800649.

The spelling of 19873152 in words is "nineteen million, eight hundred seventy-three thousand, one hundred fifty-two".