91889280 has 384 divisors, whose sum is σ = 378069120. Its totient is φ = 20127744.

The previous prime is 91889243. The next prime is 91889293. The reversal of 91889280 is 8298819.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1733734 + ... + 1733786.

It is an arithmetic number, because the mean of its divisors is an integer number (984555).

Almost surely, 2^91889280 is an apocalyptic number.

91889280 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 91889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189034560).

91889280 is an abundant number, since it is smaller than the sum of its proper divisors (286179840).

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

91889280 is a wasteful number, since it uses less digits than its factorization.

91889280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 91889280 is about 9585.8896300761. The cubic root of 91889280 is about 451.2545731486.

The spelling of 91889280 in words is "ninety-one million, eight hundred eighty-nine thousand, two hundred eighty".