91965408 has 48 divisors (see below), whose sum is σ = 251911296. Its totient is φ = 29321600.

The previous prime is 91965407. The next prime is 91965413. The reversal of 91965408 is 80456919.

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

It is a super-3 number, since 3×91965408³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 91965408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91965403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18618 + ... + 23033.

It is an arithmetic number, because the mean of its divisors is an integer number (5248152).

Almost surely, 2^91965408 is an apocalyptic number.

It is an amenable number.

91965408 is an abundant number, since it is smaller than the sum of its proper divisors (159945888).

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

91965408 is a wasteful number, since it uses less digits than its factorization.

91965408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41687 (or 41679 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 91965408 is about 9589.8596444369. The cubic root of 91965408 is about 451.3791565080.

The spelling of 91965408 in words is "ninety-one million, nine hundred sixty-five thousand, four hundred eight".