87805536 has 288 divisors, whose sum is σ = 312157440. Its totient is φ = 20984832.

The previous prime is 87805483. The next prime is 87805579. The reversal of 87805536 is 63550878.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3817621 + ... + 3817643.

It is an arithmetic number, because the mean of its divisors is an integer number (1083880).

Almost surely, 2^87805536 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 87805536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156078720).

87805536 is an abundant number, since it is smaller than the sum of its proper divisors (224351904).

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

87805536 is a wasteful number, since it uses less digits than its factorization.

87805536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 87805536 is about 9370.4608211123. The cubic root of 87805536 is about 444.4681370333.

The spelling of 87805536 in words is "eighty-seven million, eight hundred five thousand, five hundred thirty-six".