86448240 has 60 divisors (see below), whose sum is σ = 290324424. Its totient is φ = 23052672.

The previous prime is 86448221. The next prime is 86448259. The reversal of 86448240 is 4284468.

86448240 is a `hidden beast` number, since 8 + 644 + 8 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86448221) and next prime (86448259).

It is a tau number, because it is divible by the number of its divisors (60).

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 = 86448195 and 86448204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59314 + ... + 60753.

Almost surely, 2^86448240 is an apocalyptic number.

86448240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86448240 is an abundant number, since it is smaller than the sum of its proper divisors (203876184).

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

86448240 is a wasteful number, since it uses less digits than its factorization.

86448240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120086 (or 120077 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 86448240 is about 9297.7545676362. The cubic root of 86448240 is about 442.1660412325.

The spelling of 86448240 in words is "eighty-six million, four hundred forty-eight thousand, two hundred forty".