86249100 has 144 divisors (see below), whose sum is σ = 289925888. Its totient is φ = 19388160.

The previous prime is 86249081. The next prime is 86249101. The reversal of 86249100 is 194268.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (86249101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140394 + ... + 141006.

Almost surely, 2^86249100 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 86249100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144962944).

86249100 is an abundant number, since it is smaller than the sum of its proper divisors (203676788).

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

86249100 is a wasteful number, since it uses less digits than its factorization.

86249100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 86249100 is about 9287.0393560058. The cubic root of 86249100 is about 441.8262593225.

The spelling of 86249100 in words is "eighty-six million, two hundred forty-nine thousand, one hundred".