10257642 has 12 divisors (see below), whose sum is σ = 22224930. Its totient is φ = 3419208.

The previous prime is 10257631. The next prime is 10257649. The reversal of 10257642 is 24675201.

10257642 is a `hidden beast` number, since 10 + 2 + 5 + 7 + 642 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9235521 + 1022121 = 3039^2 + 1011^2 .

It is not an unprimeable number, because it can be changed into a prime (10257649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 284917 + ... + 284952.

Almost surely, 2^10257642 is an apocalyptic number.

10257642 is an abundant number, since it is smaller than the sum of its proper divisors (11967288).

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

10257642 is a wasteful number, since it uses less digits than its factorization.

10257642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569877 (or 569874 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 10257642 is about 3202.7553762347. The cubic root of 10257642 is about 217.2780454753.

The spelling of 10257642 in words is "ten million, two hundred fifty-seven thousand, six hundred forty-two".