86971632 has 80 divisors (see below), whose sum is σ = 247222272. Its totient is φ = 26127360.

The previous prime is 86971631. The next prime is 86971637. The reversal of 86971632 is 23617968.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86971631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66408 + ... + 67704.

Almost surely, 2^86971632 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 86971632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123611136).

86971632 is an abundant number, since it is smaller than the sum of its proper divisors (160250640).

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

86971632 is a wasteful number, since it uses less digits than its factorization.

86971632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1440 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 86971632 is about 9325.8582446872. The cubic root of 86971632 is about 443.0565960300.

The spelling of 86971632 in words is "eighty-six million, nine hundred seventy-one thousand, six hundred thirty-two".