91686432 has 48 divisors (see below), whose sum is σ = 241768800. Its totient is φ = 30423552.

The previous prime is 91686431. The next prime is 91686443. The reversal of 91686432 is 23468619.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (91686431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20319 + ... + 24417.

It is an arithmetic number, because the mean of its divisors is an integer number (5036850).

Almost surely, 2^91686432 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 91686432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120884400).

91686432 is an abundant number, since it is smaller than the sum of its proper divisors (150082368).

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

91686432 is a wasteful number, since it uses less digits than its factorization.

91686432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345 (or 4337 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 91686432 is about 9575.3032327963. The cubic root of 91686432 is about 450.9222764015.

The spelling of 91686432 in words is "ninety-one million, six hundred eighty-six thousand, four hundred thirty-two".