281064 has 48 divisors (see below), whose sum is σ = 820800. Its totient is φ = 79968.

The previous prime is 281063. The next prime is 281069. The reversal of 281064 is 460182.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 281064.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 281064.

It is not an unprimeable number, because it can be changed into a prime (281063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1057 + ... + 1295.

It is an arithmetic number, because the mean of its divisors is an integer number (17100).

2²⁸¹⁰⁶⁴ is an apocalyptic number.

281064 is a gapful number since it is divisible by the number (24) 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 281064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410400).

281064 is an abundant number, since it is smaller than the sum of its proper divisors (539736).

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

281064 is a wasteful number, since it uses less digits than its factorization.

281064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 281064 is about 530.1546944053. The cubic root of 281064 is about 65.5040884731.

It can be divided in two parts, 28 and 1064, that multiplied together give a palindrome (29792).

The spelling of 281064 in words is "two hundred eighty-one thousand, sixty-four".