87540208 has 80 divisors (see below), whose sum is σ = 214272000. Its totient is φ = 33758208.

The previous prime is 87540199. The next prime is 87540223. The reversal of 87540208 is 80204578.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42793 + ... + 44791.

It is an arithmetic number, because the mean of its divisors is an integer number (2678400).

Almost surely, 2^87540208 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 87540208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107136000).

87540208 is an abundant number, since it is smaller than the sum of its proper divisors (126731792).

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

87540208 is a wasteful number, since it uses less digits than its factorization.

87540208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 87540208 is about 9356.2924280935. The cubic root of 87540208 is about 444.0199920657.

The spelling of 87540208 in words is "eighty-seven million, five hundred forty thousand, two hundred eight".