891540000 has 480 divisors, whose sum is σ = 3526871040. Its totient is φ = 217728000.

The previous prime is 891539981. The next prime is 891540017. The reversal of 891540000 is 45198.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7019937 + ... + 7020063.

It is an arithmetic number, because the mean of its divisors is an integer number (7347648).

Almost surely, 2^891540000 is an apocalyptic number.

891540000 is a gapful number since it is divisible by the number (80) 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 891540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763435520).

891540000 is an abundant number, since it is smaller than the sum of its proper divisors (2635331040).

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

891540000 is a wasteful number, since it uses less digits than its factorization.

891540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 891540000 is about 29858.6670834450. The cubic root of 891540000 is about 962.4546557600.

Adding to 891540000 its reverse (45198), we get a palindrome (891585198).

The spelling of 891540000 in words is "eight hundred ninety-one million, five hundred forty thousand".