1005360 has 80 divisors (see below), whose sum is σ = 3214080. Its totient is φ = 259840.

The previous prime is 1005359. The next prime is 1005371. The reversal of 1005360 is 635001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14125 + ... + 14195.

It is an arithmetic number, because the mean of its divisors is an integer number (40176).

2^1005360 is an apocalyptic number.

1005360 is a gapful number since it is divisible by the number (10) 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 1005360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607040).

1005360 is an abundant number, since it is smaller than the sum of its proper divisors (2208720).

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

1005360 is a wasteful number, since it uses less digits than its factorization.

1005360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 1005360 is about 1002.6764183923. The cubic root of 1005360 is about 100.1783483961.

It can be divided in two parts, 100 and 5360, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 1005360 in words is "one million, five thousand, three hundred sixty".