87004008 has 192 divisors, whose sum is σ = 297024000. Its totient is φ = 22861440.

The previous prime is 87003979. The next prime is 87004013. The reversal of 87004008 is 80040078.

It is a happy number.

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, 320913 + ... + 321183.

It is an arithmetic number, because the mean of its divisors is an integer number (1547000).

Almost surely, 2^87004008 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 87004008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148512000).

87004008 is an abundant number, since it is smaller than the sum of its proper divisors (210019992).

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

87004008 is a wasteful number, since it uses less digits than its factorization.

87004008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 87004008 is about 9327.5939019664. The cubic root of 87004008 is about 443.1115665242. Note that the first 3 decimals are identical.

The spelling of 87004008 in words is "eighty-seven million, four thousand, eight".