7987032 has 64 divisors (see below), whose sum is σ = 22464000. Its totient is φ = 2629152.

The previous prime is 7987027. The next prime is 7987037. The reversal of 7987032 is 2307897.

It is an interprime number because it is at equal distance from previous prime (7987027) and next prime (7987037).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7987037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22069 + ... + 22427.

It is an arithmetic number, because the mean of its divisors is an integer number (351000).

Almost surely, 2^7987032 is an apocalyptic number.

7987032 is a gapful number since it is divisible by the number (72) 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 7987032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11232000).

7987032 is an abundant number, since it is smaller than the sum of its proper divisors (14476968).

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

7987032 is a wasteful number, since it uses less digits than its factorization.

7987032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7987032 is about 2826.1337547965. The cubic root of 7987032 is about 199.8918748887.

The spelling of 7987032 in words is "seven million, nine hundred eighty-seven thousand, thirty-two".