86406228 has 36 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 28573776.

The previous prime is 86406217. The next prime is 86406233. The reversal of 86406228 is 82260468.

86406228 is a `hidden beast` number, since 8 + 640 + 6 + 2 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 86406192 and 86406201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4878 + ... + 14021.

It is an arithmetic number, because the mean of its divisors is an integer number (6115200).

Almost surely, 2^86406228 is an apocalyptic number.

It is an amenable number.

86406228 is an abundant number, since it is smaller than the sum of its proper divisors (133740972).

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

86406228 is a wasteful number, since it uses less digits than its factorization.

86406228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19036 (or 19031 counting only the distinct ones).

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

The square root of 86406228 is about 9295.4950379203. The cubic root of 86406228 is about 442.0944018724.

Subtracting from 86406228 its reverse (82260468), we obtain a triangular number (4145760 = T₂₈₇₉).

The spelling of 86406228 in words is "eighty-six million, four hundred six thousand, two hundred twenty-eight".