1008016 has 15 divisors (see below), whose sum is σ = 1960843. Its totient is φ = 502000.

The previous prime is 1008013. The next prime is 1008017. The reversal of 1008016 is 6108001.

The square root of 1008016 is 1004.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1008013) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3891 + ... + 4141.

2^1008016 is an apocalyptic number.

1008016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1008016 is the 1004-th square number.

It is an amenable number.

1008016 is a deficient number, since it is larger than the sum of its proper divisors (952827).

1008016 is an frugal number, since it uses more digits than its factorization.

1008016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The cubic root of 1008016 is about 100.2664892042.

Multiplying 1008016 by its sum of digits (16), we get a square (16128256 = 4016²).

1008016 divided by its sum of digits (16) gives a square (63001 = 251²).

The spelling of 1008016 in words is "one million, eight thousand, sixteen".