91827540 has 192 divisors, whose sum is σ = 345945600. Its totient is φ = 19740672.

The previous prime is 91827521. The next prime is 91827559. The reversal of 91827540 is 4572819.

91827540 is a `hidden beast` number, since 91 + 8 + 27 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (91827521) and next prime (91827559).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 91827495 and 91827504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63546 + ... + 64974.

It is an arithmetic number, because the mean of its divisors is an integer number (1801800).

Almost surely, 2^91827540 is an apocalyptic number.

91827540 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 91827540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172972800).

91827540 is an abundant number, since it is smaller than the sum of its proper divisors (254118060).

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

91827540 is a wasteful number, since it uses less digits than its factorization.

91827540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 91827540 is about 9582.6687305781. The cubic root of 91827540 is about 451.1534851890.

The spelling of 91827540 in words is "ninety-one million, eight hundred twenty-seven thousand, five hundred forty".