86357052 has 72 divisors (see below), whose sum is σ = 231154560. Its totient is φ = 27108000.

The previous prime is 86357017. The next prime is 86357069. The reversal of 86357052 is 25075368.

86357052 is a `hidden beast` number, since 86 + 3 + 570 + 5 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 86356998 and 86357016.

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 23 ways as a sum of consecutive naturals, for example, 171433 + ... + 171935.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2^86357052 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 86357052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115577280).

86357052 is an abundant number, since it is smaller than the sum of its proper divisors (144797508).

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

86357052 is a wasteful number, since it uses less digits than its factorization.

86357052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 86357052 is about 9292.8495091656. The cubic root of 86357052 is about 442.0105168699.

The spelling of 86357052 in words is "eighty-six million, three hundred fifty-seven thousand, fifty-two".