8189952 has 96 divisors (see below), whose sum is σ = 23063040. Its totient is φ = 2580480.

The previous prime is 8189947. The next prime is 8189957. The reversal of 8189952 is 2599818.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8189947) and next prime (8189957).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8189957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190443 + ... + 190485.

It is an arithmetic number, because the mean of its divisors is an integer number (240240).

Almost surely, 2^8189952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8189952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11531520).

8189952 is an abundant number, since it is smaller than the sum of its proper divisors (14873088).

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

8189952 is a wasteful number, since it uses less digits than its factorization.

8189952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 79 counting only the distinct ones).

The product of its digits is 51840, while the sum is 42.

The square root of 8189952 is about 2861.8092179599. The cubic root of 8189952 is about 201.5705676357.

The spelling of 8189952 in words is "eight million, one hundred eighty-nine thousand, nine hundred fifty-two".