8007132 has 96 divisors (see below), whose sum is σ = 23385600. Its totient is φ = 2080512.

The previous prime is 8007127. The next prime is 8007143. The reversal of 8007132 is 2317008.

It is a super-2 number, since 2×8007132² = 128228325730848, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 8007099 and 8007108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46198 + ... + 46370.

It is an arithmetic number, because the mean of its divisors is an integer number (243600).

Almost surely, 2^8007132 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 8007132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11692800).

8007132 is an abundant number, since it is smaller than the sum of its proper divisors (15378468).

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

8007132 is a wasteful number, since it uses less digits than its factorization.

8007132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 8007132 is about 2829.6876152678. The cubic root of 8007132 is about 200.0594156805.

The spelling of 8007132 in words is "eight million, seven thousand, one hundred thirty-two".