7008960 has 168 divisors, whose sum is σ = 26060400. Its totient is φ = 1591296.

The previous prime is 7008943. The next prime is 7008977. The reversal of 7008960 is 698007.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7008943) and next prime (7008977).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 46966 + ... + 47114.

Almost surely, 2^7008960 is an apocalyptic number.

7008960 is a gapful number since it is divisible by the number (70) 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 7008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13030200).

7008960 is an abundant number, since it is smaller than the sum of its proper divisors (19051440).

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

7008960 is a wasteful number, since it uses less digits than its factorization.

7008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 7008960 is about 2647.4440504003. Note that the first 3 decimals coincide. The cubic root of 7008960 is about 191.3747018753.

The spelling of 7008960 in words is "seven million, eight thousand, nine hundred sixty".