86268420 has 108 divisors (see below), whose sum is σ = 304435404. Its totient is φ = 19716480.

The previous prime is 86268383. The next prime is 86268439. The reversal of 86268420 is 2486268.

86268420 is a `hidden beast` number, since 8 + 626 + 8 + 4 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34082244 + 52186176 = 5838^2 + 7224^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3930 + ... + 13710.

Almost surely, 2^86268420 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 86268420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152217702).

86268420 is an abundant number, since it is smaller than the sum of its proper divisors (218166984).

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

86268420 is a wasteful number, since it uses less digits than its factorization.

86268420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9810 (or 9798 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 86268420 is about 9288.0794570245. The cubic root of 86268420 is about 441.8592468978.

The spelling of 86268420 in words is "eighty-six million, two hundred sixty-eight thousand, four hundred twenty".