891540 has 96 divisors (see below), whose sum is σ = 3010560. Its totient is φ = 217728.

The previous prime is 891523. The next prime is 891551. The reversal of 891540 is 45198.

891540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

891540 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6957 + ... + 7083.

It is an arithmetic number, because the mean of its divisors is an integer number (31360).

2⁸⁹¹⁵⁴⁰ 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 891540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505280).

891540 is an abundant number, since it is smaller than the sum of its proper divisors (2119020).

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

891540 is a wasteful number, since it uses less digits than its factorization.

891540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

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

The square root of 891540 is about 944.2139588038. The cubic root of 891540 is about 96.2454655760.

It can be divided in two parts, 891 and 540, that added together give a triangular number (1431 = T₅₃).

The spelling of 891540 in words is "eight hundred ninety-one thousand, five hundred forty".