91929040 has 80 divisors (see below), whose sum is σ = 246234240. Its totient is φ = 31265280.

The previous prime is 91929037. The next prime is 91929041. The reversal of 91929040 is 4092919.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 91928987 and 91929005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91929041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77250 + ... + 78430.

It is an arithmetic number, because the mean of its divisors is an integer number (3077928).

Almost surely, 2^91929040 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 91929040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123117120).

91929040 is an abundant number, since it is smaller than the sum of its proper divisors (154305200).

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

91929040 is a wasteful number, since it uses less digits than its factorization.

91929040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 91929040 is about 9587.9632873723. The cubic root of 91929040 is about 451.3196489103.

The spelling of 91929040 in words is "ninety-one million, nine hundred twenty-nine thousand, forty".