86596840 has 128 divisors (see below), whose sum is σ = 228096000. Its totient is φ = 29272320.

The previous prime is 86596801. The next prime is 86596849. The reversal of 86596840 is 4869568.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (86596849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435061 + ... + 435259.

It is an arithmetic number, because the mean of its divisors is an integer number (1782000).

Almost surely, 2^86596840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86596840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114048000).

86596840 is an abundant number, since it is smaller than the sum of its proper divisors (141499160).

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

86596840 is a wasteful number, since it uses less digits than its factorization.

86596840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 86596840 is about 9305.7423132171. The cubic root of 86596840 is about 442.4192496314.

The spelling of 86596840 in words is "eighty-six million, five hundred ninety-six thousand, eight hundred forty".