87003792 has 60 divisors (see below), whose sum is σ = 249170064. Its totient is φ = 28324800.

The previous prime is 87003743. The next prime is 87003797. The reversal of 87003792 is 29730078.

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

It is not an unprimeable number, because it can be changed into a prime (87003797) 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, 834 + ... + 13217.

Almost surely, 2^87003792 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 87003792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124585032).

87003792 is an abundant number, since it is smaller than the sum of its proper divisors (162166272).

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

87003792 is a wasteful number, since it uses less digits than its factorization.

87003792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14108 (or 14099 counting only the distinct ones).

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

The square root of 87003792 is about 9327.5823234105. The cubic root of 87003792 is about 443.1111998278. Note that the first 4 decimals are identical.

The spelling of 87003792 in words is "eighty-seven million, three thousand, seven hundred ninety-two".