86648016 has 160 divisors (see below), whose sum is σ = 279982080. Its totient is φ = 22482432.

The previous prime is 86647991. The next prime is 86648017. The reversal of 86648016 is 61084668.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86648017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362425 + ... + 362663.

It is an arithmetic number, because the mean of its divisors is an integer number (1749888).

Almost surely, 2^86648016 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 86648016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139991040).

86648016 is an abundant number, since it is smaller than the sum of its proper divisors (193334064).

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

86648016 is a wasteful number, since it uses less digits than its factorization.

86648016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 86648016 is about 9308.4916071295. The cubic root of 86648016 is about 442.5063844079.

The spelling of 86648016 in words is "eighty-six million, six hundred forty-eight thousand, sixteen".