87288760 has 32 divisors (see below), whose sum is σ = 211508640. Its totient is φ = 32229504.

The previous prime is 87288731. The next prime is 87288769. The reversal of 87288760 is 6788278.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 87288760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87288769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83412 + ... + 84451.

It is an arithmetic number, because the mean of its divisors is an integer number (6609645).

Almost surely, 2^87288760 is an apocalyptic number.

It is an amenable number.

87288760 is an abundant number, since it is smaller than the sum of its proper divisors (124219880).

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

87288760 is a wasteful number, since it uses less digits than its factorization.

87288760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167887 (or 167883 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 46.

The square root of 87288760 is about 9342.8453909930. The cubic root of 87288760 is about 443.5944542451.

The spelling of 87288760 in words is "eighty-seven million, two hundred eighty-eight thousand, seven hundred sixty".