87660640 has 48 divisors (see below), whose sum is σ = 211522752. Its totient is φ = 34315264.

The previous prime is 87660611. The next prime is 87660667. The reversal of 87660640 is 4606678.

It is a self number, because there is not a number n which added to its sum of digits gives 87660640.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1692 + ... + 13348.

It is an arithmetic number, because the mean of its divisors is an integer number (4406724).

Almost surely, 2^87660640 is an apocalyptic number.

87660640 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 87660640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105761376).

87660640 is an abundant number, since it is smaller than the sum of its proper divisors (123862112).

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

87660640 is a wasteful number, since it uses less digits than its factorization.

87660640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11719 (or 11711 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 87660640 is about 9362.7260987386. The cubic root of 87660640 is about 444.2235164939.

It can be divided in two parts, 876 and 60640, that added together give a palindrome (61516).

The spelling of 87660640 in words is "eighty-seven million, six hundred sixty thousand, six hundred forty".