86744448 has 192 divisors, whose sum is σ = 295326720. Its totient is φ = 23915520.

The previous prime is 86744447. The next prime is 86744453. The reversal of 86744448 is 84444768.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86744447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249811 + ... + 250157.

It is an arithmetic number, because the mean of its divisors is an integer number (1538160).

Almost surely, 2^86744448 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 86744448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147663360).

86744448 is an abundant number, since it is smaller than the sum of its proper divisors (208582272).

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

86744448 is a wasteful number, since it uses less digits than its factorization.

86744448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 390 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 86744448 is about 9313.6699533535. The cubic root of 86744448 is about 442.6704810884.

The spelling of 86744448 in words is "eighty-six million, seven hundred forty-four thousand, four hundred forty-eight".