86349528 has 192 divisors, whose sum is σ = 269568000. Its totient is φ = 24800256.

The previous prime is 86349517. The next prime is 86349541. The reversal of 86349528 is 82594368.

86349528 is a `hidden beast` number, since 8 + 634 + 9 + 5 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1092993 + ... + 1093071.

It is an arithmetic number, because the mean of its divisors is an integer number (1404000).

Almost surely, 2^86349528 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 86349528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134784000).

86349528 is an abundant number, since it is smaller than the sum of its proper divisors (183218472).

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

86349528 is a wasteful number, since it uses less digits than its factorization.

86349528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 167 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 86349528 is about 9292.4446729588. Note that the first 3 decimals coincide. The cubic root of 86349528 is about 441.9976795330.

The spelling of 86349528 in words is "eighty-six million, three hundred forty-nine thousand, five hundred twenty-eight".