86096052 has 144 divisors (see below), whose sum is σ = 261660672. Its totient is φ = 23353920.

The previous prime is 86096051. The next prime is 86096069. The reversal of 86096052 is 25069068.

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 = 86095998 and 86096016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86096051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804583 + ... + 804689.

It is an arithmetic number, because the mean of its divisors is an integer number (1817088).

Almost surely, 2^86096052 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 86096052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130830336).

86096052 is an abundant number, since it is smaller than the sum of its proper divisors (175564620).

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

86096052 is a wasteful number, since it uses less digits than its factorization.

86096052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 86096052 is about 9278.7958270457. The cubic root of 86096052 is about 441.5647661122.

The spelling of 86096052 in words is "eighty-six million, ninety-six thousand, fifty-two".