86389632 has 128 divisors (see below), whose sum is σ = 291475200. Its totient is φ = 24675840.

The previous prime is 86389609. The next prime is 86389669. The reversal of 86389632 is 23698368.

86389632 is a `hidden beast` number, since 8 + 6 + 3 + 8 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22407 + ... + 25977.

It is an arithmetic number, because the mean of its divisors is an integer number (2277150).

Almost surely, 2^86389632 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 86389632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145737600).

86389632 is an abundant number, since it is smaller than the sum of its proper divisors (205085568).

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

86389632 is a wasteful number, since it uses less digits than its factorization.

86389632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601 (or 3583 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 86389632 is about 9294.6023045637. The cubic root of 86389632 is about 442.0660957783.

It can be divided in two parts, 863896 and 32, that multiplied together give a palindrome (27644672).

The spelling of 86389632 in words is "eighty-six million, three hundred eighty-nine thousand, six hundred thirty-two".