86845248 has 252 divisors, whose sum is σ = 308294532. Its totient is φ = 23224320.

The previous prime is 86845243. The next prime is 86845357. The reversal of 86845248 is 84254868.

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 59721984 = 5208^2 + 7728^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86845243) 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 35 ways as a sum of consecutive naturals, for example, 479718 + ... + 479898.

It is an arithmetic number, because the mean of its divisors is an integer number (1223391).

Almost surely, 2^86845248 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 86845248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154147266).

86845248 is an abundant number, since it is smaller than the sum of its proper divisors (221449284).

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

86845248 is a wasteful number, since it uses less digits than its factorization.

86845248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 210 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 86845248 is about 9319.0797828970. The cubic root of 86845248 is about 442.8418807683.

The spelling of 86845248 in words is "eighty-six million, eight hundred forty-five thousand, two hundred forty-eight".