10864007 has 16 divisors (see below), whose sum is σ = 13632000. Its totient is φ = 8411040.

The previous prime is 10863973. The next prime is 10864093. The reversal of 10864007 is 70046801.

10864007 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10864007 - 2⁶ = 10863943 is a prime.

It is a Duffinian number.

10864007 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10864507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14969 + ... + 15677.

It is an arithmetic number, because the mean of its divisors is an integer number (852000).

Almost surely, 2^10864007 is an apocalyptic number.

10864007 is a deficient number, since it is larger than the sum of its proper divisors (2767993).

10864007 is a wasteful number, since it uses less digits than its factorization.

10864007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 10864007 is about 3296.0593137867. The cubic root of 10864007 is about 221.4777037993.

The spelling of 10864007 in words is "ten million, eight hundred sixty-four thousand, seven".