10257696 has 36 divisors (see below), whose sum is σ = 29171142. Its totient is φ = 3419136.

The previous prime is 10257671. The next prime is 10257697. The reversal of 10257696 is 69675201.

It can be written as a sum of positive squares in only one way, i.e., 9217296 + 1040400 = 3036^2 + 1020^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 10257696.

It is not an unprimeable number, because it can be changed into a prime (10257697) 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, 17521 + ... + 18096.

Almost surely, 2^10257696 is an apocalyptic number.

10257696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10257696 is an abundant number, since it is smaller than the sum of its proper divisors (18913446).

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

10257696 is a wasteful number, since it uses less digits than its factorization.

10257696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35633 (or 35622 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 10257696 is about 3202.7638064647. The cubic root of 10257696 is about 217.2784267518.

The spelling of 10257696 in words is "ten million, two hundred fifty-seven thousand, six hundred ninety-six".