86573820 has 48 divisors (see below), whose sum is σ = 244571040. Its totient is φ = 22882048.

The previous prime is 86573819. The next prime is 86573891. The reversal of 86573820 is 2837568.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 565 × 339 × 452.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 766084 + ... + 766196.

It is an arithmetic number, because the mean of its divisors is an integer number (5095230).

Almost surely, 2^86573820 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 86573820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122285520).

86573820 is an abundant number, since it is smaller than the sum of its proper divisors (157997220).

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

86573820 is an equidigital number, since it uses as much as digits as its factorization.

86573820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 86573820 is about 9304.5053603080. The cubic root of 86573820 is about 442.3800434521.

The spelling of 86573820 in words is "eighty-six million, five hundred seventy-three thousand, eight hundred twenty".