86819232 has 48 divisors (see below), whose sum is σ = 229727232. Its totient is φ = 28707840.

The previous prime is 86819231. The next prime is 86819281. The reversal of 86819232 is 23291868.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (86819231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8632 + ... + 15752.

It is an arithmetic number, because the mean of its divisors is an integer number (4785984).

Almost surely, 2^86819232 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 86819232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114863616).

86819232 is an abundant number, since it is smaller than the sum of its proper divisors (142908000).

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

86819232 is a wasteful number, since it uses less digits than its factorization.

86819232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7261 (or 7253 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 86819232 is about 9317.6838323695. The cubic root of 86819232 is about 442.7976560304.

It can be divided in two parts, 868 and 19232, that added together give a triangular number (20100 = T₂₀₀).

The spelling of 86819232 in words is "eighty-six million, eight hundred nineteen thousand, two hundred thirty-two".