86892384 has 48 divisors (see below), whose sum is σ = 229920768. Its totient is φ = 28732032.

The previous prime is 86892383. The next prime is 86892401. The reversal of 86892384 is 48329868.

It is a happy number.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (86892383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8629 + ... + 15755.

It is an arithmetic number, because the mean of its divisors is an integer number (4790016).

Almost surely, 2^86892384 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 86892384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114960384).

86892384 is an abundant number, since it is smaller than the sum of its proper divisors (143028384).

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

86892384 is a wasteful number, since it uses less digits than its factorization.

86892384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7267 (or 7259 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 86892384 is about 9321.6084448983. The cubic root of 86892384 is about 442.9219850152.

The spelling of 86892384 in words is "eighty-six million, eight hundred ninety-two thousand, three hundred eighty-four".