87682348404 has 144 divisors (see below), whose sum is σ = 256130574336. Its totient is φ = 24774120000.

The previous prime is 87682348393. The next prime is 87682348427. The reversal of 87682348404 is 40484328678.

It is a happy number.

87682348404 is a `hidden beast` number, since 87 + 6 + 82 + 3 + 484 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8632729 + ... + 8642879.

It is an arithmetic number, because the mean of its divisors is an integer number (1778684544).

Almost surely, 2^87682348404 is an apocalyptic number.

87682348404 is a gapful number since it is divisible by the number (84) 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 87682348404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128065287168).

87682348404 is an abundant number, since it is smaller than the sum of its proper divisors (168448225932).

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

87682348404 is a wasteful number, since it uses less digits than its factorization.

87682348404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10546 (or 10541 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 87682348404 in words is "eighty-seven billion, six hundred eighty-two million, three hundred forty-eight thousand, four hundred four".