87600840 has 64 divisors (see below), whose sum is σ = 267278400. Its totient is φ = 22962432.

The previous prime is 87600839. The next prime is 87600841. The reversal of 87600840 is 4800678.

It is an interprime number because it is at equal distance from previous prime (87600839) and next prime (87600841).

It is not an unprimeable number, because it can be changed into a prime (87600841) 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 15 ways as a sum of consecutive naturals, for example, 894 + ... + 13266.

It is an arithmetic number, because the mean of its divisors is an integer number (4176225).

Almost surely, 2^87600840 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 87600840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133639200).

87600840 is an abundant number, since it is smaller than the sum of its proper divisors (179677560).

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

87600840 is a wasteful number, since it uses less digits than its factorization.

87600840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12446 (or 12442 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 87600840 is about 9359.5320395840. The cubic root of 87600840 is about 444.1224806160.

The spelling of 87600840 in words is "eighty-seven million, six hundred thousand, eight hundred forty".