10007964 has 18 divisors (see below), whose sum is σ = 25298000. Its totient is φ = 3335976.

The previous prime is 10007953. The next prime is 10007969. The reversal of 10007964 is 46970001.

10007964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 138964 + ... + 139035.

Almost surely, 2^10007964 is an apocalyptic number.

It is an amenable number.

10007964 is an abundant number, since it is smaller than the sum of its proper divisors (15290036).

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

10007964 is a wasteful number, since it uses less digits than its factorization.

10007964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278009 (or 278004 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10007964 is about 3163.5366285219. The cubic root of 10007964 is about 215.5006468866.

Adding to 10007964 its reverse (46970001), we get a palindrome (56977965).

The spelling of 10007964 in words is "ten million, seven thousand, nine hundred sixty-four".