8152032 has 72 divisors (see below), whose sum is σ = 24907176. Its totient is φ = 2327808.

The previous prime is 8152031. The next prime is 8152033. The reversal of 8152032 is 2302518.

It is an interprime number because it is at equal distance from previous prime (8152031) and next prime (8152033).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 (8152031) 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, 3838 + ... + 5570.

It is an arithmetic number, because the mean of its divisors is an integer number (345933).

Almost surely, 2^8152032 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 8152032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12453588).

8152032 is an abundant number, since it is smaller than the sum of its proper divisors (16755144).

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

8152032 is a wasteful number, since it uses less digits than its factorization.

8152032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 8152032 is about 2855.1763518214. The cubic root of 8152032 is about 201.2589914067.

The spelling of 8152032 in words is "eight million, one hundred fifty-two thousand, thirty-two".