86642000 has 40 divisors (see below), whose sum is σ = 209505192. Its totient is φ = 34656000.

The previous prime is 86641991. The next prime is 86642011. The reversal of 86642000 is 24668.

It can be written as a sum of positive squares in 4 ways, for example, as 3136 + 86638864 = 56^2 + 9308^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19661 + ... + 23660.

Almost surely, 2^86642000 is an apocalyptic number.

86642000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86642000 is an abundant number, since it is smaller than the sum of its proper divisors (122863192).

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

86642000 is a wasteful number, since it uses less digits than its factorization.

86642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43344 (or 43328 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 86642000 is about 9308.1684557167. The cubic root of 86642000 is about 442.4961430500.

Adding to 86642000 its reverse (24668), we get a palindrome (86666668).

The spelling of 86642000 in words is "eighty-six million, six hundred forty-two thousand".