86532840 has 128 divisors (see below), whose sum is σ = 303696000. Its totient is φ = 21855744.

The previous prime is 86532833. The next prime is 86532857. The reversal of 86532840 is 4823568.

86532840 is a `hidden beast` number, since 86 + 532 + 8 + 40 = 666.

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 = 86532795 and 86532804.

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 31 ways as a sum of consecutive naturals, for example, 18412 + ... + 22628.

It is an arithmetic number, because the mean of its divisors is an integer number (2372625).

Almost surely, 2^86532840 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 86532840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151848000).

86532840 is an abundant number, since it is smaller than the sum of its proper divisors (217163160).

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

86532840 is a wasteful number, since it uses less digits than its factorization.

86532840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 86532840 is about 9302.3029406701. The cubic root of 86532840 is about 442.3102317570.

The spelling of 86532840 in words is "eighty-six million, five hundred thirty-two thousand, eight hundred forty".