87675060 has 96 divisors (see below), whose sum is σ = 271724544. Its totient is φ = 20944000.

The previous prime is 87675059. The next prime is 87675067. The reversal of 87675060 is 6057678.

It is a super-2 number, since 2×87675060² = 15373832292007200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87675067) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 45925 + ... + 47795.

It is an arithmetic number, because the mean of its divisors is an integer number (2830464).

Almost surely, 2^87675060 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 87675060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135862272).

87675060 is an abundant number, since it is smaller than the sum of its proper divisors (184049484).

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

87675060 is a wasteful number, since it uses less digits than its factorization.

87675060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 87675060 is about 9363.4961419333. The cubic root of 87675060 is about 444.2478731185.

The spelling of 87675060 in words is "eighty-seven million, six hundred seventy-five thousand, sixty".