891864 has 32 divisors (see below), whose sum is σ = 2478000. Its totient is φ = 297216.

The previous prime is 891859. The next prime is 891887. The reversal of 891864 is 468198.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1849 + ... + 2280.

2⁸⁹¹⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

891864 is an abundant number, since it is smaller than the sum of its proper divisors (1586136).

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

891864 is a wasteful number, since it uses less digits than its factorization.

891864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144 (or 4134 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 891864 is about 944.3855145014. The cubic root of 891864 is about 96.2571232149.

It can be divided in two parts, 89 and 1864, that added together give a triangular number (1953 = T₆₂).

The spelling of 891864 in words is "eight hundred ninety-one thousand, eight hundred sixty-four".