1002960 has 120 divisors (see below), whose sum is σ = 3868800. Its totient is φ = 228096.

The previous prime is 1002931. The next prime is 1002973. The reversal of 1002960 is 692001.

1002960 = T₂₂ + T₂₃ + ... + T₁₈₁.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 4941 + ... + 5139.

It is an arithmetic number, because the mean of its divisors is an integer number (32240).

2^1002960 is an apocalyptic number.

1002960 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 1002960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934400).

1002960 is an abundant number, since it is smaller than the sum of its proper divisors (2865840).

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

1002960 is a wasteful number, since it uses less digits than its factorization.

1002960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1002960 is about 1001.4789064179. The cubic root of 1002960 is about 100.0985694753.

Adding to 1002960 its reverse (692001), we get a palindrome (1694961).

The spelling of 1002960 in words is "one million, two thousand, nine hundred sixty".