87533136 has 200 divisors, whose sum is σ = 279524520. Its totient is φ = 26320896.

The previous prime is 87533113. The next prime is 87533137. The reversal of 87533136 is 63133578.

It can be written as a sum of positive squares in 4 ways, for example, as 27625536 + 59907600 = 5256^2 + 7740^2 .

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 87533136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87533137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 638860 + ... + 638996.

Almost surely, 2^87533136 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 87533136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139762260).

87533136 is an abundant number, since it is smaller than the sum of its proper divisors (191991384).

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

87533136 is a wasteful number, since it uses less digits than its factorization.

87533136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 188 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 87533136 is about 9355.9144929825. The cubic root of 87533136 is about 444.0080349167.

The spelling of 87533136 in words is "eighty-seven million, five hundred thirty-three thousand, one hundred thirty-six".