10042992 has 60 divisors (see below), whose sum is σ = 28435680. Its totient is φ = 3308544.

The previous prime is 10042987. The next prime is 10042993. The reversal of 10042992 is 29924001.

10042992 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13609 + ... + 14327.

It is an arithmetic number, because the mean of its divisors is an integer number (473928).

Almost surely, 2^10042992 is an apocalyptic number.

10042992 is a gapful number since it is divisible by the number (12) 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 10042992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217840).

10042992 is an abundant number, since it is smaller than the sum of its proper divisors (18392688).

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

10042992 is a wasteful number, since it uses less digits than its factorization.

10042992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10042992 is about 3169.0680017948. The cubic root of 10042992 is about 215.7517724590.

Adding to 10042992 its reverse (29924001), we get a palindrome (39966993).

The spelling of 10042992 in words is "ten million, forty-two thousand, nine hundred ninety-two".