87573006 has 48 divisors (see below), whose sum is σ = 203377824. Its totient is φ = 27162432.

The previous prime is 87572999. The next prime is 87573019. The reversal of 87573006 is 60037578.

87573006 is a `hidden beast` number, since 87 + 573 + 0 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12460 + ... + 18176.

It is an arithmetic number, because the mean of its divisors is an integer number (4237038).

Almost surely, 2^87573006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87573006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101688912).

87573006 is an abundant number, since it is smaller than the sum of its proper divisors (115804818).

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

87573006 is a wasteful number, since it uses less digits than its factorization.

87573006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5785 (or 5782 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 87573006 is about 9358.0449881372. The cubic root of 87573006 is about 444.0754376325.

The spelling of 87573006 in words is "eighty-seven million, five hundred seventy-three thousand, six".