86327648 has 48 divisors (see below), whose sum is σ = 193487616. Its totient is φ = 37530240.

The previous prime is 86327641. The next prime is 86327663. The reversal of 86327648 is 84672368.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 86327599 and 86327608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86327641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2765 + ... + 13427.

It is an arithmetic number, because the mean of its divisors is an integer number (4030992).

Almost surely, 2^86327648 is an apocalyptic number.

86327648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86327648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96743808).

86327648 is an abundant number, since it is smaller than the sum of its proper divisors (107159968).

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

86327648 is a wasteful number, since it uses less digits than its factorization.

86327648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10707 (or 10699 counting only the distinct ones).

The product of its digits is 387072, while the sum is 44.

The square root of 86327648 is about 9291.2672978448. The cubic root of 86327648 is about 441.9603439644.

The spelling of 86327648 in words is "eighty-six million, three hundred twenty-seven thousand, six hundred forty-eight".