91938560 has 144 divisors (see below), whose sum is σ = 260585472. Its totient is φ = 30412800.

The previous prime is 91938503. The next prime is 91938563. The reversal of 91938560 is 6583919.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91938563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277595 + ... + 277925.

Almost surely, 2^91938560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130292736).

91938560 is an abundant number, since it is smaller than the sum of its proper divisors (168646912).

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

91938560 is a wasteful number, since it uses less digits than its factorization.

91938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 41.

The square root of 91938560 is about 9588.4597303217. The cubic root of 91938560 is about 451.3352276463.

The spelling of 91938560 in words is "ninety-one million, nine hundred thirty-eight thousand, five hundred sixty".