91326312 has 384 divisors, whose sum is σ = 353664000. Its totient is φ = 21150720.

The previous prime is 91326283. The next prime is 91326317. The reversal of 91326312 is 21362319.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (91326317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4806639 + ... + 4806657.

It is an arithmetic number, because the mean of its divisors is an integer number (921000).

Almost surely, 2^91326312 is an apocalyptic number.

91326312 is the 7803-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91326312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176832000).

91326312 is an abundant number, since it is smaller than the sum of its proper divisors (262337688).

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

91326312 is a wasteful number, since it uses less digits than its factorization.

91326312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 59 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 91326312 is about 9556.4801051433. The cubic root of 91326312 is about 450.3311340519.

It can be divided in two parts, 913 and 26312, that added together give a square (27225 = 165²).

The spelling of 91326312 in words is "ninety-one million, three hundred twenty-six thousand, three hundred twelve".