87647760 has 240 divisors, whose sum is σ = 319176000. Its totient is φ = 21482496.

The previous prime is 87647723. The next prime is 87647761. The reversal of 87647760 is 6774678.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (87647761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 588166 + ... + 588314.

It is an arithmetic number, because the mean of its divisors is an integer number (1329900).

Almost surely, 2^87647760 is an apocalyptic number.

87647760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87647760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159588000).

87647760 is an abundant number, since it is smaller than the sum of its proper divisors (231528240).

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

87647760 is a wasteful number, since it uses less digits than its factorization.

87647760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 87647760 is about 9362.0382396143. The cubic root of 87647760 is about 444.2017588037.

The spelling of 87647760 in words is "eighty-seven million, six hundred forty-seven thousand, seven hundred sixty".