87382632960 has 1440 divisors, whose sum is σ = 388057372560. Its totient is φ = 18034458624.

The previous prime is 87382632959. The next prime is 87382632973. The reversal of 87382632960 is 6923628378.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 42146447616 + 45236185344 = 205296^2 + 212688^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a junction number, because it is equal to n+sod(n) for n = 87382632897 and 87382632906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 556577202 + ... + 556577358.

Almost surely, 2^87382632960 is an apocalyptic number.

87382632960 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 87382632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194028686280).

87382632960 is an abundant number, since it is smaller than the sum of its proper divisors (300674739600).

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

87382632960 is a wasteful number, since it uses less digits than its factorization.

87382632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 87382632960 in words is "eighty-seven billion, three hundred eighty-two million, six hundred thirty-two thousand, nine hundred sixty".