86848240 has 80 divisors (see below), whose sum is σ = 225119520. Its totient is φ = 30965760.

The previous prime is 86848219. The next prime is 86848277. The reversal of 86848240 is 4284868.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 86848193 and 86848202.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 24160 + ... + 27520.

It is an arithmetic number, because the mean of its divisors is an integer number (2813994).

Almost surely, 2^86848240 is an apocalyptic number.

86848240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86848240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112559760).

86848240 is an abundant number, since it is smaller than the sum of its proper divisors (138271280).

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

86848240 is a wasteful number, since it uses less digits than its factorization.

86848240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 86848240 is about 9319.2403123860. The cubic root of 86848240 is about 442.8469663189.

The spelling of 86848240 in words is "eighty-six million, eight hundred forty-eight thousand, two hundred forty".