86349024 has 96 divisors (see below), whose sum is σ = 254016000. Its totient is φ = 28536192.

The previous prime is 86349023. The next prime is 86349071. The reversal of 86349024 is 42094368.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 86349024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86349023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 119737 + ... + 120455.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2^86349024 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 86349024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008000).

86349024 is an abundant number, since it is smaller than the sum of its proper divisors (167666976).

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

86349024 is a wasteful number, since it uses less digits than its factorization.

86349024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 86349024 is about 9292.4175541137. The cubic root of 86349024 is about 441.9968195891.

The spelling of 86349024 in words is "eighty-six million, three hundred forty-nine thousand, twenty-four".