1007008 has 12 divisors (see below), whose sum is σ = 1982610. Its totient is φ = 503488.

The previous prime is 1006991. The next prime is 1007021. The reversal of 1007008 is 8007001.

It can be written as a sum of positive squares in only one way, i.e., 868624 + 138384 = 932^2 + 372^2 .

It is a super-2 number, since 2×1007008² = 2028130224128, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1006982 and 1007000.

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 as a sum of consecutive naturals, namely, 15703 + ... + 15766.

2^1007008 is an apocalyptic number.

It is an amenable number.

1007008 is a deficient number, since it is larger than the sum of its proper divisors (975602).

1007008 is an equidigital number, since it uses as much as digits as its factorization.

1007008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31479 (or 31471 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 1007008 is about 1003.4978824093. The cubic root of 1007008 is about 100.2330564251.

The spelling of 1007008 in words is "one million, seven thousand, eight".