10185642 has 64 divisors (see below), whose sum is σ = 24192000. Its totient is φ = 3169584.

The previous prime is 10185629. The next prime is 10185649. The reversal of 10185642 is 24658101.

10185642 is a `hidden beast` number, since 1 + 0 + 18 + 5 + 642 = 666.

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 (10185649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73209 + ... + 73347.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 2^10185642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10185642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096000).

10185642 is an abundant number, since it is smaller than the sum of its proper divisors (14006358).

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

10185642 is a wasteful number, since it uses less digits than its factorization.

10185642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10185642 is about 3191.4952608456. The cubic root of 10185642 is about 216.7684817995.

The spelling of 10185642 in words is "ten million, one hundred eighty-five thousand, six hundred forty-two".