86442120 has 64 divisors (see below), whose sum is σ = 288144000. Its totient is φ = 23050944.

The previous prime is 86442113. The next prime is 86442151. The reversal of 86442120 is 2124468.

86442120 is a `hidden beast` number, since 8 + 644 + 2 + 12 + 0 = 666.

It is a super-2 number, since 2×86442120² = 14944480220188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38940 + ... + 41099.

It is an arithmetic number, because the mean of its divisors is an integer number (4502250).

Almost surely, 2^86442120 is an apocalyptic number.

It is an amenable number.

86442120 is an abundant number, since it is smaller than the sum of its proper divisors (201701880).

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

86442120 is a wasteful number, since it uses less digits than its factorization.

86442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80059 (or 80049 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 86442120 is about 9297.4254500910. The cubic root of 86442120 is about 442.1556067805.

Adding to 86442120 its reverse (2124468), we get a palindrome (88566588).

The spelling of 86442120 in words is "eighty-six million, four hundred forty-two thousand, one hundred twenty".