86268840 has 64 divisors (see below), whose sum is σ = 295781760. Its totient is φ = 19718400.

The previous prime is 86268839. The next prime is 86268841. The reversal of 86268840 is 4886268.

It is an interprime number because it is at equal distance from previous prime (86268839) and next prime (86268841).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 86268792 and 86268801.

It is not an unprimeable number, because it can be changed into a prime (86268841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50511 + ... + 52190.

It is an arithmetic number, because the mean of its divisors is an integer number (4621590).

Almost surely, 2^86268840 is an apocalyptic number.

It is an amenable number.

86268840 is an abundant number, since it is smaller than the sum of its proper divisors (209512920).

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

86268840 is a wasteful number, since it uses less digits than its factorization.

86268840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102722 (or 102718 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 86268840 is about 9288.1020666227. The cubic root of 86268840 is about 441.8599639643.

The spelling of 86268840 in words is "eighty-six million, two hundred sixty-eight thousand, eight hundred forty".