86084544 has 168 divisors, whose sum is σ = 282610560. Its totient is φ = 22643712.

The previous prime is 86084539. The next prime is 86084563. The reversal of 86084544 is 44548068.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226947 + ... + 227325.

Almost surely, 2^86084544 is an apocalyptic number.

86084544 is a gapful number since it is divisible by the number (84) 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 86084544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141305280).

86084544 is an abundant number, since it is smaller than the sum of its proper divisors (196526016).

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

86084544 is a wasteful number, since it uses less digits than its factorization.

86084544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 86084544 is about 9278.1756827514. The cubic root of 86084544 is about 441.5450913666.

The spelling of 86084544 in words is "eighty-six million, eighty-four thousand, five hundred forty-four".