86995600 has 30 divisors (see below), whose sum is σ = 209007890. Its totient is φ = 34798080.

The previous prime is 86995583. The next prime is 86995609. The reversal of 86995600 is 659968.

It can be written as a sum of positive squares in 3 ways, for example, as 4112784 + 82882816 = 2028^2 + 9104^2 .

It is not an unprimeable number, because it can be changed into a prime (86995609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 108345 + ... + 109144.

Almost surely, 2^86995600 is an apocalyptic number.

86995600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86995600 is an abundant number, since it is smaller than the sum of its proper divisors (122012290).

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

86995600 is a wasteful number, since it uses less digits than its factorization.

86995600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217507 (or 217496 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 86995600 is about 9327.1431853489. The cubic root of 86995600 is about 443.0972920781.

It can be divided in two parts, 869 and 95600, that added together give a palindrome (96469).

The spelling of 86995600 in words is "eighty-six million, nine hundred ninety-five thousand, six hundred".