10536642 has 40 divisors (see below), whose sum is σ = 23802636. Its totient is φ = 3483648.

The previous prime is 10536637. The next prime is 10536649. The reversal of 10536642 is 24663501.

10536642 is a `hidden beast` number, since 10 + 5 + 3 + 6 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9865881 + 670761 = 3141^2 + 819^2 .

It is a super-2 number, since 2×10536642² = 222041649272328, which contains 22 as substring.

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

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (10536649) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31098 + ... + 31434.

Almost surely, 2^10536642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10536642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11901318).

10536642 is an abundant number, since it is smaller than the sum of its proper divisors (13265994).

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

10536642 is a wasteful number, since it uses less digits than its factorization.

10536642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 10536642 is about 3246.0194084447. The cubic root of 10536642 is about 219.2303824413.

The spelling of 10536642 in words is "ten million, five hundred thirty-six thousand, six hundred forty-two".