10964007 has 24 divisors (see below), whose sum is σ = 16867760. Its totient is φ = 6842880.

The previous prime is 10964003. The next prime is 10964017. The reversal of 10964007 is 70046901.

10964007 is a `hidden beast` number, since 10 + 9 + 640 + 0 + 7 = 666.

10964007 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10964007 - 2² = 10964003 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10964003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16257 + ... + 16917.

Almost surely, 2^10964007 is an apocalyptic number.

10964007 is a deficient number, since it is larger than the sum of its proper divisors (5903753).

10964007 is a wasteful number, since it uses less digits than its factorization.

10964007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 780 counting only the distinct ones).

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

The square root of 10964007 is about 3311.1941954528. The cubic root of 10964007 is about 222.1551751713.

The spelling of 10964007 in words is "ten million, nine hundred sixty-four thousand, seven".