86913648 has 100 divisors (see below), whose sum is σ = 253567600. Its totient is φ = 28740096.

The previous prime is 86913641. The next prime is 86913661. The reversal of 86913648 is 84631968.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86913641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 257736 + ... + 258072.

It is an arithmetic number, because the mean of its divisors is an integer number (2535676).

Almost surely, 2^86913648 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 86913648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126783800).

86913648 is an abundant number, since it is smaller than the sum of its proper divisors (166653952).

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

86913648 is a wasteful number, since it uses less digits than its factorization.

86913648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 541 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 86913648 is about 9322.7489508192. The cubic root of 86913648 is about 442.9581121742.

The spelling of 86913648 in words is "eighty-six million, nine hundred thirteen thousand, six hundred forty-eight".