91287936 has 96 divisors (see below), whose sum is σ = 265465200. Its totient is φ = 30108672.

The previous prime is 91287929. The next prime is 91287953. The reversal of 91287936 is 63978219.

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

It is a junction number, because it is equal to n+sod(n) for n = 91287891 and 91287900.

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 11 ways as a sum of consecutive naturals, for example, 125205 + ... + 125931.

Almost surely, 2^91287936 is an apocalyptic number.

91287936 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 91287936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132732600).

91287936 is an abundant number, since it is smaller than the sum of its proper divisors (174177264).

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

91287936 is a wasteful number, since it uses less digits than its factorization.

91287936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 841 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 91287936 is about 9554.4720419288. The cubic root of 91287936 is about 450.2680477100.

The spelling of 91287936 in words is "ninety-one million, two hundred eighty-seven thousand, nine hundred thirty-six".