86349744 has 120 divisors (see below), whose sum is σ = 262691520. Its totient is φ = 26320896.

The previous prime is 86349727. The next prime is 86349799. The reversal of 86349744 is 44794368.

86349744 is a `hidden beast` number, since 8 + 634 + 9 + 7 + 4 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 86349744.

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, 361177 + ... + 361415.

It is an arithmetic number, because the mean of its divisors is an integer number (2189096).

Almost surely, 2^86349744 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 86349744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131345760).

86349744 is an abundant number, since it is smaller than the sum of its proper divisors (176341776).

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

86349744 is a wasteful number, since it uses less digits than its factorization.

86349744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 450 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 86349744 is about 9292.4562952967. The cubic root of 86349744 is about 441.9980480794.

The spelling of 86349744 in words is "eighty-six million, three hundred forty-nine thousand, seven hundred forty-four".