86849496 has 80 divisors (see below), whose sum is σ = 245852640. Its totient is φ = 28641600.

The previous prime is 86849491. The next prime is 86849501. The reversal of 86849496 is 69494868.

86849496 is a `hidden beast` number, since 8 + 68 + 494 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (86849491) and next prime (86849501).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86849491) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64785 + ... + 66111.

It is an arithmetic number, because the mean of its divisors is an integer number (3073158).

Almost surely, 2^86849496 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 86849496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122926320).

86849496 is an abundant number, since it is smaller than the sum of its proper divisors (159003144).

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

86849496 is a wasteful number, since it uses less digits than its factorization.

86849496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1433 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 86849496 is about 9319.3076996095. The cubic root of 86849496 is about 442.8491011274.

The spelling of 86849496 in words is "eighty-six million, eight hundred forty-nine thousand, four hundred ninety-six".