86219600 has 60 divisors (see below), whose sum is σ = 208037280. Its totient is φ = 34339200.

The previous prime is 86219599. The next prime is 86219603. The reversal of 86219600 is 691268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86219603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175355 + ... + 175845.

It is an arithmetic number, because the mean of its divisors is an integer number (3467288).

Almost surely, 2^86219600 is an apocalyptic number.

86219600 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 86219600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104018640).

86219600 is an abundant number, since it is smaller than the sum of its proper divisors (121817680).

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

86219600 is a wasteful number, since it uses less digits than its factorization.

86219600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 86219600 is about 9285.4509852780. The cubic root of 86219600 is about 441.7758805903.

The spelling of 86219600 in words is "eighty-six million, two hundred nineteen thousand, six hundred".