10042960 has 40 divisors (see below), whose sum is σ = 23855616. Its totient is φ = 3930240.

The previous prime is 10042957. The next prime is 10042969. The reversal of 10042960 is 6924001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10042960² = 201722091123200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042969) 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 7 ways as a sum of consecutive naturals, for example, 2425 + ... + 5095.

Almost surely, 2^10042960 is an apocalyptic number.

10042960 is a gapful number since it is divisible by the number (10) 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 10042960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11927808).

10042960 is an abundant number, since it is smaller than the sum of its proper divisors (13812656).

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

10042960 is a wasteful number, since it uses less digits than its factorization.

10042960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 10042960 is about 3169.0629529878. The cubic root of 10042960 is about 215.7515433087.

Adding to 10042960 its reverse (6924001), we get a palindrome (16966961).

It can be divided in two parts, 100429 and 60, that added together give a square (100489 = 317²).

The spelling of 10042960 in words is "ten million, forty-two thousand, nine hundred sixty".