91410816 has 128 divisors (see below), whose sum is σ = 286709760. Its totient is φ = 25251840.

The previous prime is 91410797. The next prime is 91410827. The reversal of 91410816 is 61801419.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 82780 + ... + 83876.

It is an arithmetic number, because the mean of its divisors is an integer number (2239920).

Almost surely, 2^91410816 is an apocalyptic number.

91410816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91410816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143354880).

91410816 is an abundant number, since it is smaller than the sum of its proper divisors (195298944).

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

91410816 is a wasteful number, since it uses less digits than its factorization.

91410816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 91410816 is about 9560.9003760106. The cubic root of 91410816 is about 450.4699879777.

The spelling of 91410816 in words is "ninety-one million, four hundred ten thousand, eight hundred sixteen".