86821824 has 112 divisors (see below), whose sum is σ = 245790720. Its totient is φ = 26987520.

The previous prime is 86821817. The next prime is 86821837. The reversal of 86821824 is 42812868.

It is a nude number because it is divisible by every one of its digits.

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, 172357 + ... + 172859.

It is an arithmetic number, because the mean of its divisors is an integer number (2194560).

Almost surely, 2^86821824 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 86821824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122895360).

86821824 is an abundant number, since it is smaller than the sum of its proper divisors (158968896).

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

86821824 is a wasteful number, since it uses less digits than its factorization.

86821824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 568 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 86821824 is about 9317.8229216915. The cubic root of 86821824 is about 442.8020625813.

The spelling of 86821824 in words is "eighty-six million, eight hundred twenty-one thousand, eight hundred twenty-four".