87803136 has 72 divisors (see below), whose sum is σ = 259669760. Its totient is φ = 29265408.

The previous prime is 87803117. The next prime is 87803141. The reversal of 87803136 is 63130878.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 87803136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 561 + ... + 13263.

Almost surely, 2^87803136 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 87803136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129834880).

87803136 is an abundant number, since it is smaller than the sum of its proper divisors (171866624).

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

87803136 is a wasteful number, since it uses less digits than its factorization.

87803136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12728 (or 12708 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 87803136 is about 9370.3327582322. The cubic root of 87803136 is about 444.4640874281.

The spelling of 87803136 in words is "eighty-seven million, eight hundred three thousand, one hundred thirty-six".