1006480 has 40 divisors (see below), whose sum is σ = 2446272. Its totient is φ = 384384.

The previous prime is 1006471. The next prime is 1006493. The reversal of 1006480 is 846001.

1006480 = T₆₃₂ + T₆₃₃ + ... + T₆₃₆.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 1567 + ... + 2113.

2^1006480 is an apocalyptic number.

1006480 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 1006480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223136).

1006480 is an abundant number, since it is smaller than the sum of its proper divisors (1439792).

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

1006480 is a wasteful number, since it uses less digits than its factorization.

1006480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1006480 is about 1003.2347681375. The cubic root of 1006480 is about 100.2155351124.

The spelling of 1006480 in words is "one million, six thousand, four hundred eighty".