7008144 has 80 divisors (see below), whose sum is σ = 21290304. Its totient is φ = 1958400.

The previous prime is 7008143. The next prime is 7008151. The reversal of 7008144 is 4418007.

It is a super-2 number, since 2×7008144² = 98228164649472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (7008143) 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 15 ways as a sum of consecutive naturals, for example, 6354 + ... + 7374.

Almost surely, 2^7008144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7008144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10645152).

7008144 is an abundant number, since it is smaller than the sum of its proper divisors (14282160).

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

7008144 is a wasteful number, since it uses less digits than its factorization.

7008144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 7008144 is about 2647.2899350090. The cubic root of 7008144 is about 191.3672748192.

It can be divided in two parts, 70081 and 44, that added together give a triangular number (70125 = T₃₇₄).

The spelling of 7008144 in words is "seven million, eight thousand, one hundred forty-four".