87604408320 has 832 divisors, whose sum is σ = 336866342400. Its totient is φ = 19271516160.

The previous prime is 87604408267. The next prime is 87604408351. The reversal of 87604408320 is 2380440678.

It is a tau number, because it is divible by the number of its divisors (832).

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 63 ways as a sum of consecutive naturals, for example, 1484820451 + ... + 1484820509.

Almost surely, 2^87604408320 is an apocalyptic number.

87604408320 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 87604408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168433171200).

87604408320 is an abundant number, since it is smaller than the sum of its proper divisors (249261934080).

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

87604408320 is a wasteful number, since it uses less digits than its factorization.

87604408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

Adding to 87604408320 its reverse (2380440678), we get a palindrome (89984848998).

The spelling of 87604408320 in words is "eighty-seven billion, six hundred four million, four hundred eight thousand, three hundred twenty".