86765448 has 128 divisors (see below), whose sum is σ = 279936000. Its totient is φ = 21745920.

The previous prime is 86765401. The next prime is 86765473. The reversal of 86765448 is 84456768.

It is a junction number, because it is equal to n+sod(n) for n = 86765397 and 86765406.

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, 52783 + ... + 54401.

It is an arithmetic number, because the mean of its divisors is an integer number (2187000).

Almost surely, 2^86765448 is an apocalyptic number.

86765448 is a gapful number since it is divisible by the number (88) 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 86765448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139968000).

86765448 is an abundant number, since it is smaller than the sum of its proper divisors (193170552).

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

86765448 is a wasteful number, since it uses less digits than its factorization.

86765448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1671 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 86765448 is about 9314.7972602736. The cubic root of 86765448 is about 442.7062003006.

The spelling of 86765448 in words is "eighty-six million, seven hundred sixty-five thousand, four hundred forty-eight".