86045328 has 80 divisors (see below), whose sum is σ = 250132800. Its totient is φ = 28670112.

The previous prime is 86045293. The next prime is 86045329. The reversal of 86045328 is 82354068.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 86045292 and 86045301.

It is not an unprimeable number, because it can be changed into a prime (86045329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33763 + ... + 36221.

It is an arithmetic number, because the mean of its divisors is an integer number (3126660).

Almost surely, 2^86045328 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 86045328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125066400).

86045328 is an abundant number, since it is smaller than the sum of its proper divisors (164087472).

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

86045328 is an equidigital number, since it uses as much as digits as its factorization.

86045328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 86045328 is about 9276.0620955231. The cubic root of 86045328 is about 441.4780322425.

The spelling of 86045328 in words is "eighty-six million, forty-five thousand, three hundred twenty-eight".