87382867968 has 360 divisors, whose sum is σ = 291670863120. Its totient is φ = 24914165760.

The previous prime is 87382867939. The next prime is 87382868009. The reversal of 87382867968 is 86976828378.

87382867968 is a `hidden beast` number, since 87 + 382 + 86 + 7 + 96 + 8 = 666.

It is a super-2 number, since 2×87382867968² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 87382867896 and 87382867905.

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 23 ways as a sum of consecutive naturals, for example, 27572688 + ... + 27575856.

It is an arithmetic number, because the mean of its divisors is an integer number (810196842).

Almost surely, 2^87382867968 is an apocalyptic number.

87382867968 is a gapful number since it is divisible by the number (88) 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 87382867968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145835431560).

87382867968 is an abundant number, since it is smaller than the sum of its proper divisors (204287995152).

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

87382867968 is a wasteful number, since it uses less digits than its factorization.

87382867968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231 (or 3202 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 72.

The spelling of 87382867968 in words is "eighty-seven billion, three hundred eighty-two million, eight hundred sixty-seven thousand, nine hundred sixty-eight".