86516352 has 192 divisors, whose sum is σ = 275675400. Its totient is φ = 25878528.

The previous prime is 86516351. The next prime is 86516359. The reversal of 86516352 is 25361568.

It can be written as a sum of positive squares in 4 ways, for example, as 75064896 + 11451456 = 8664^2 + 3384^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (43200) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86516351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 793674 + ... + 793782.

Almost surely, 2^86516352 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 86516352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137837700).

86516352 is an abundant number, since it is smaller than the sum of its proper divisors (189159048).

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

86516352 is a wasteful number, since it uses less digits than its factorization.

86516352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 86516352 is about 9301.4166662934. The cubic root of 86516352 is about 442.2821373197.

It can be divided in two parts, 86516 and 352, that added together give a palindrome (86868).

The spelling of 86516352 in words is "eighty-six million, five hundred sixteen thousand, three hundred fifty-two".