87675000 has 192 divisors, whose sum is σ = 314979840. Its totient is φ = 19920000.

The previous prime is 87674981. The next prime is 87675017. The reversal of 87675000 is 57678.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524917 + ... + 525083.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 2^87675000 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 87675000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

87675000 is an abundant number, since it is smaller than the sum of its proper divisors (227304840).

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

87675000 is a wasteful number, since it uses less digits than its factorization.

87675000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 87675000 is about 9363.4929380013. The cubic root of 87675000 is about 444.2477717788.

The spelling of 87675000 in words is "eighty-seven million, six hundred seventy-five thousand".