91851120 has 240 divisors, whose sum is σ = 329041440. Its totient is φ = 22923264.

The previous prime is 91851107. The next prime is 91851127. The reversal of 91851120 is 2115819.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91851127) 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 47 ways as a sum of consecutive naturals, for example, 1106599 + ... + 1106681.

It is an arithmetic number, because the mean of its divisors is an integer number (1371006).

Almost surely, 2^91851120 is an apocalyptic number.

91851120 is a gapful number since it is divisible by the number (90) 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 91851120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164520720).

91851120 is an abundant number, since it is smaller than the sum of its proper divisors (237190320).

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

91851120 is a wasteful number, since it uses less digits than its factorization.

91851120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 91851120 is about 9583.8989977983. The cubic root of 91851120 is about 451.1920984734.

Adding to 91851120 its reverse (2115819), we get a palindrome (93966939).

The spelling of 91851120 in words is "ninety-one million, eight hundred fifty-one thousand, one hundred twenty".