7007964 has 12 divisors (see below), whose sum is σ = 16351944. Its totient is φ = 2335984.

The previous prime is 7007951. The next prime is 7007969. The reversal of 7007964 is 4697007.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×7007964² = 98223118850592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7007969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 291987 + ... + 292010.

It is an arithmetic number, because the mean of its divisors is an integer number (1362662).

Almost surely, 2^7007964 is an apocalyptic number.

It is an amenable number.

7007964 is an abundant number, since it is smaller than the sum of its proper divisors (9343980).

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

7007964 is a wasteful number, since it uses less digits than its factorization.

7007964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584004 (or 584002 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 7007964 is about 2647.2559377589. The cubic root of 7007964 is about 191.3656364204.

The spelling of 7007964 in words is "seven million, seven thousand, nine hundred sixty-four".