86145700 has 72 divisors (see below), whose sum is σ = 192925152. Its totient is φ = 33377280.

The previous prime is 86145671. The next prime is 86145733. The reversal of 86145700 is 754168.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 805047 + ... + 805153.

It is an arithmetic number, because the mean of its divisors is an integer number (2679516).

Almost surely, 2^86145700 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 86145700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96462576).

86145700 is an abundant number, since it is smaller than the sum of its proper divisors (106779452).

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

86145700 is a wasteful number, since it uses less digits than its factorization.

86145700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 86145700 is about 9281.4707886197. The cubic root of 86145700 is about 441.6496271263.

Adding to 86145700 its reverse (754168), we get a palindrome (86899868).

The spelling of 86145700 in words is "eighty-six million, one hundred forty-five thousand, seven hundred".