86719820 has 96 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 30159360.

The previous prime is 86719817. The next prime is 86719847. The reversal of 86719820 is 2891768.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 841889 + ... + 841991.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 2^86719820 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 86719820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783680).

86719820 is an abundant number, since it is smaller than the sum of its proper divisors (120847540).

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

86719820 is a wasteful number, since it uses less digits than its factorization.

86719820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 86719820 is about 9312.3477168757. The cubic root of 86719820 is about 442.6285836115.

The spelling of 86719820 in words is "eighty-six million, seven hundred nineteen thousand, eight hundred twenty".