10260864 has 64 divisors (see below), whose sum is σ = 30294000. Its totient is φ = 3419136.

The previous prime is 10260863. The next prime is 10260881. The reversal of 10260864 is 46806201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10260863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1972 + ... + 4940.

Almost surely, 2^10260864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10260864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15147000).

10260864 is an abundant number, since it is smaller than the sum of its proper divisors (20033136).

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

10260864 is an equidigital number, since it uses as much as digits as its factorization.

10260864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10260864 is about 3203.2583411270. The cubic root of 10260864 is about 217.3007926322.

The spelling of 10260864 in words is "ten million, two hundred sixty thousand, eight hundred sixty-four".