87546760 has 64 divisors (see below), whose sum is σ = 226437120. Its totient is φ = 29840640.

The previous prime is 87546757. The next prime is 87546761. The reversal of 87546760 is 6764578.

It is not an unprimeable number, because it can be changed into a prime (87546761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52662 + ... + 54298.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2^87546760 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 87546760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

87546760 is an abundant number, since it is smaller than the sum of its proper divisors (138890360).

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

87546760 is a wasteful number, since it uses less digits than its factorization.

87546760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The square root of 87546760 is about 9356.6425602349. The cubic root of 87546760 is about 444.0310694380.

The spelling of 87546760 in words is "eighty-seven million, five hundred forty-six thousand, seven hundred sixty".