19891152 has 60 divisors (see below), whose sum is σ = 56871360. Its totient is φ = 6487104.

The previous prime is 19891141. The next prime is 19891153. The reversal of 19891152 is 25119891.

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 (19891153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5299 + ... + 8237.

It is an arithmetic number, because the mean of its divisors is an integer number (947856).

Almost surely, 2^19891152 is an apocalyptic number.

19891152 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 19891152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28435680).

19891152 is an abundant number, since it is smaller than the sum of its proper divisors (36980208).

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

19891152 is a wasteful number, since it uses less digits than its factorization.

19891152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2991 counting only the distinct ones).

The product of its digits is 6480, while the sum is 36.

The square root of 19891152 is about 4459.9497755020. The cubic root of 19891152 is about 270.9484340642.

The spelling of 19891152 in words is "nineteen million, eight hundred ninety-one thousand, one hundred fifty-two".