87201536 has 36 divisors (see below), whose sum is σ = 177374232. Its totient is φ = 42771456.

The previous prime is 87201523. The next prime is 87201553. The reversal of 87201536 is 63510278.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10355 + ... + 16781.

It is an arithmetic number, because the mean of its divisors is an integer number (4927062).

Almost surely, 2^87201536 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 87201536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88687116).

87201536 is an abundant number, since it is smaller than the sum of its proper divisors (90172696).

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

87201536 is an equidigital number, since it uses as much as digits as its factorization.

87201536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6496 (or 6482 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 87201536 is about 9338.1762673447. The cubic root of 87201536 is about 443.4466498862.

The spelling of 87201536 in words is "eighty-seven million, two hundred one thousand, five hundred thirty-six".