893880 has 96 divisors (see below), whose sum is σ = 3144960. Its totient is φ = 218880.

The previous prime is 893873. The next prime is 893881. The reversal of 893880 is 88398.

893880 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (893881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4585 + ... + 4775.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2⁸⁹³⁸⁸⁰ 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 893880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480).

893880 is an abundant number, since it is smaller than the sum of its proper divisors (2251080).

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

893880 is a wasteful number, since it uses less digits than its factorization.

893880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 214 counting only the distinct ones).

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

The square root of 893880 is about 945.4522727245. The cubic root of 893880 is about 96.3295962706.

It can be divided in two parts, 89 and 3880, that added together give a square (3969 = 63²).

The spelling of 893880 in words is "eight hundred ninety-three thousand, eight hundred eighty".