86468448 has 48 divisors (see below), whose sum is σ = 247617216. Its totient is φ = 26202240.

The previous prime is 86468429. The next prime is 86468461. The reversal of 86468448 is 84486468.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 86468397 and 86468406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39886 + ... + 41997.

It is an arithmetic number, because the mean of its divisors is an integer number (5158692).

Almost surely, 2^86468448 is an apocalyptic number.

86468448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86468448 is an abundant number, since it is smaller than the sum of its proper divisors (161148768).

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

86468448 is a wasteful number, since it uses less digits than its factorization.

86468448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81907 (or 81899 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 86468448 is about 9298.8412181304. The cubic root of 86468448 is about 442.2004918865.

The spelling of 86468448 in words is "eighty-six million, four hundred sixty-eight thousand, four hundred forty-eight".