10264896 has 84 divisors (see below), whose sum is σ = 29955744. Its totient is φ = 3360000.

The previous prime is 10264871. The next prime is 10264901. The reversal of 10264896 is 69846201.

10264896 is a `hidden beast` number, since 1 + 0 + 2 + 648 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10264896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40771 + ... + 41021.

It is an arithmetic number, because the mean of its divisors is an integer number (356616).

Almost surely, 2^10264896 is an apocalyptic number.

10264896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10264896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14977872).

10264896 is an abundant number, since it is smaller than the sum of its proper divisors (19690848).

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

10264896 is a wasteful number, since it uses less digits than its factorization.

10264896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 10264896 is about 3203.8876384792. The cubic root of 10264896 is about 217.3292516411.

The spelling of 10264896 in words is "ten million, two hundred sixty-four thousand, eight hundred ninety-six".