91429632 has 108 divisors (see below), whose sum is σ = 301326480. Its totient is φ = 26118144.

The previous prime is 91429619. The next prime is 91429651. The reversal of 91429632 is 23692419.

91429632 is a `hidden beast` number, since 9 + 14 + 2 + 9 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13294 + ... + 18962.

It is an arithmetic number, because the mean of its divisors is an integer number (2790060).

Almost surely, 2^91429632 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 91429632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150663240).

91429632 is an abundant number, since it is smaller than the sum of its proper divisors (209896848).

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

91429632 is a wasteful number, since it uses less digits than its factorization.

91429632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5698 (or 5681 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 91429632 is about 9561.8843331218. The cubic root of 91429632 is about 450.5008941008.

The spelling of 91429632 in words is "ninety-one million, four hundred twenty-nine thousand, six hundred thirty-two".