86852640 has 96 divisors (see below), whose sum is σ = 312681600. Its totient is φ = 19851264.

The previous prime is 86852639. The next prime is 86852671. The reversal of 86852640 is 4625868.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 9565 + ... + 16284.

It is an arithmetic number, because the mean of its divisors is an integer number (3257100).

Almost surely, 2^86852640 is an apocalyptic number.

86852640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86852640 is an abundant number, since it is smaller than the sum of its proper divisors (225828960).

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

86852640 is a wasteful number, since it uses less digits than its factorization.

86852640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25874 (or 25866 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 86852640 is about 9319.4763801407. The cubic root of 86852640 is about 442.8544448575.

It can be divided in two parts, 8685 and 2640, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 86852640 in words is "eighty-six million, eight hundred fifty-two thousand, six hundred forty".