91601280 has 384 divisors, whose sum is σ = 356428800. Its totient is φ = 22394880.

The previous prime is 91601269. The next prime is 91601297. The reversal of 91601280 is 8210619.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

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, 2954865 + ... + 2954895.

It is an arithmetic number, because the mean of its divisors is an integer number (928200).

Almost surely, 2^91601280 is an apocalyptic number.

91601280 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 91601280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178214400).

91601280 is an abundant number, since it is smaller than the sum of its proper divisors (264827520).

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

91601280 is a wasteful number, since it uses less digits than its factorization.

91601280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 91601280 is about 9570.8557611114. The cubic root of 91601280 is about 450.7826380502.

Adding to 91601280 its reverse (8210619), we get a palindrome (99811899).

It can be divided in two parts, 9160 and 1280, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 91601280 in words is "ninety-one million, six hundred one thousand, two hundred eighty".