91969440 has 96 divisors (see below), whose sum is σ = 299738880. Its totient is φ = 23675904.

The previous prime is 91969393. The next prime is 91969441. The reversal of 91969440 is 4496919.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×91969440³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 91969392 and 91969401.

It is not an unprimeable number, because it can be changed into a prime (91969441) 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, 10617 + ... + 17223.

It is an arithmetic number, because the mean of its divisors is an integer number (3122280).

Almost surely, 2^91969440 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 91969440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149869440).

91969440 is an abundant number, since it is smaller than the sum of its proper divisors (207769440).

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

91969440 is a wasteful number, since it uses less digits than its factorization.

91969440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6654 (or 6646 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 91969440 is about 9590.0698641876. The cubic root of 91969440 is about 451.3857529527.

The spelling of 91969440 in words is "ninety-one million, nine hundred sixty-nine thousand, four hundred forty".