86132700 has 288 divisors, whose sum is σ = 308313600. Its totient is φ = 20528640.

The previous prime is 86132689. The next prime is 86132701. The reversal of 86132700 is 723168.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86132701) 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 95 ways as a sum of consecutive naturals, for example, 1179864 + ... + 1179936.

Almost surely, 2^86132700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86132700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154156800).

86132700 is an abundant number, since it is smaller than the sum of its proper divisors (222180900).

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

86132700 is a wasteful number, since it uses less digits than its factorization.

86132700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 86132700 is about 9280.7704421562. The cubic root of 86132700 is about 441.6274099834.

Adding to 86132700 its reverse (723168), we get a palindrome (86855868).

The spelling of 86132700 in words is "eighty-six million, one hundred thirty-two thousand, seven hundred".