87534336 has 72 divisors (see below), whose sum is σ = 234365040. Its totient is φ = 29003776.

The previous prime is 87534313. The next prime is 87534353. The reversal of 87534336 is 63343578.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 87534294 and 87534303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224830 + ... + 225218.

It is an arithmetic number, because the mean of its divisors is an integer number (3255070).

Almost surely, 2^87534336 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 87534336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117182520).

87534336 is an abundant number, since it is smaller than the sum of its proper divisors (146830704).

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

87534336 is a wasteful number, since it uses less digits than its factorization.

87534336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 687 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The square root of 87534336 is about 9355.9786233189. The cubic root of 87534336 is about 444.0100638901.

The spelling of 87534336 in words is "eighty-seven million, five hundred thirty-four thousand, three hundred thirty-six".