91408 has 20 divisors (see below), whose sum is σ = 184140. Its totient is φ = 43904.

The previous prime is 91397. The next prime is 91411. The reversal of 91408 is 80419.

91408 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 73984 + 17424 = 272^2 + 132^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 366 + ... + 562.

It is an arithmetic number, because the mean of its divisors is an integer number (9207).

2⁹¹⁴⁰⁸ 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 91408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92070).

91408 is an abundant number, since it is smaller than the sum of its proper divisors (92732).

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

91408 is a wasteful number, since it uses less digits than its factorization.

91408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 91408 is about 302.3375596912. The cubic root of 91408 is about 45.0465362207.

It can be divided in two parts, 91 and 408, that multiplied together give a triangular number (37128 = T₂₇₂).

The spelling of 91408 in words is "ninety-one thousand, four hundred eight".