86871667600 has 45 divisors (see below), whose sum is σ = 208723344627. Its totient is φ = 34746309120.

The previous prime is 86871667583. The next prime is 86871667609. The reversal of 86871667600 is 676617868.

The square root of 86871667600 is 294740.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5130570384 + 81741097216 = 71628^2 + 285904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86871667609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5887432 + ... + 5902168.

Almost surely, 2^86871667600 is an apocalyptic number.

86871667600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86871667600 is the 294740-th square number.

It is an amenable number.

86871667600 is an abundant number, since it is smaller than the sum of its proper divisors (121851677027).

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

86871667600 is an frugal number, since it uses more digits than its factorization.

86871667600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29492 (or 14744 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 55.

The spelling of 86871667600 in words is "eighty-six billion, eight hundred seventy-one million, six hundred sixty-seven thousand, six hundred".