86612328 has 160 divisors (see below), whose sum is σ = 274428000. Its totient is φ = 25280640.

The previous prime is 86612321. The next prime is 86612329. The reversal of 86612328 is 82321668.

86612328 is a `hidden beast` number, since 8 + 6 + 612 + 32 + 8 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 86612292 and 86612301.

It is not an unprimeable number, because it can be changed into a prime (86612321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 206503 + ... + 206921.

It is an arithmetic number, because the mean of its divisors is an integer number (1715175).

Almost surely, 2^86612328 is an apocalyptic number.

86612328 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 86612328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137214000).

86612328 is an abundant number, since it is smaller than the sum of its proper divisors (187815672).

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

86612328 is a wasteful number, since it uses less digits than its factorization.

86612328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 464 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 86612328 is about 9306.5744503550. The cubic root of 86612328 is about 442.4456238843.

The spelling of 86612328 in words is "eighty-six million, six hundred twelve thousand, three hundred twenty-eight".