86667444 has 36 divisors (see below), whose sum is σ = 226145920. Its totient is φ = 27956880.

The previous prime is 86667443. The next prime is 86667461. The reversal of 86667444 is 44476668.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×86667444⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 86667444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86667443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37714 + ... + 39945.

Almost surely, 2^86667444 is an apocalyptic number.

It is an amenable number.

86667444 is an abundant number, since it is smaller than the sum of its proper divisors (139478476).

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

86667444 is a wasteful number, since it uses less digits than its factorization.

86667444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77700 (or 77695 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 86667444 is about 9309.5351119162. The cubic root of 86667444 is about 442.5394544922.

It can be divided in two parts, 8666 and 7444, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 86667444 in words is "eighty-six million, six hundred sixty-seven thousand, four hundred forty-four".