86181240 has 64 divisors (see below), whose sum is σ = 266895360. Its totient is φ = 22239360.

The previous prime is 86181223. The next prime is 86181247. The reversal of 86181240 is 4218168.

It is a super-2 number, since 2×86181240² = 14854412255875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 86181198 and 86181207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86181247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7864 + ... + 15303.

It is an arithmetic number, because the mean of its divisors is an integer number (4170240).

Almost surely, 2^86181240 is an apocalyptic number.

It is an amenable number.

86181240 is an abundant number, since it is smaller than the sum of its proper divisors (180714120).

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

86181240 is a wasteful number, since it uses less digits than its factorization.

86181240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23212 (or 23208 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 86181240 is about 9283.3851584430. The cubic root of 86181240 is about 441.7103539713.

The spelling of 86181240 in words is "eighty-six million, one hundred eighty-one thousand, two hundred forty".