1036008 has 24 divisors (see below), whose sum is σ = 2806050. Its totient is φ = 345312.

The previous prime is 1036003. The next prime is 1036027. The reversal of 1036008 is 8006301.

It can be written as a sum of positive squares in only one way, i.e., 956484 + 79524 = 978^2 + 282^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×1036008³ = 3335881245908737536, which contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1036001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7123 + ... + 7266.

2^1036008 is an apocalyptic number.

1036008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1036008 is an abundant number, since it is smaller than the sum of its proper divisors (1770042).

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

1036008 is a wasteful number, since it uses less digits than its factorization.

1036008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14401 (or 14394 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1036008 is about 1017.8447818798. The cubic root of 1036008 is about 101.1861417176.

The spelling of 1036008 in words is "one million, thirty-six thousand, eight".