86464820 has 96 divisors (see below), whose sum is σ = 215066880. Its totient is φ = 28892160.

The previous prime is 86464793. The next prime is 86464841. The reversal of 86464820 is 2846468.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 31 ways as a sum of consecutive naturals, for example, 113240 + ... + 114000.

It is an arithmetic number, because the mean of its divisors is an integer number (2240280).

Almost surely, 2^86464820 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 86464820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107533440).

86464820 is an abundant number, since it is smaller than the sum of its proper divisors (128602060).

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

86464820 is a wasteful number, since it uses less digits than its factorization.

86464820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 86464820 is about 9298.6461380139. The cubic root of 86464820 is about 442.1943072574.

The spelling of 86464820 in words is "eighty-six million, four hundred sixty-four thousand, eight hundred twenty".