10042560 has 168 divisors, whose sum is σ = 37801296. Its totient is φ = 2426880.

The previous prime is 10042553. The next prime is 10042579. The reversal of 10042560 is 6524001.

It is a happy number.

10042560 is a `hidden beast` number, since 100 + 4 + 2 + 560 = 666.

It is a Cunningham number, because it is equal to 3169²-1.

It is a super-2 number, since 2×10042560² = 201706022707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31522 + ... + 31838.

Almost surely, 2^10042560 is an apocalyptic number.

10042560 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 10042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18900648).

10042560 is an abundant number, since it is smaller than the sum of its proper divisors (27758736).

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

10042560 is a wasteful number, since it uses less digits than its factorization.

10042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10042560 is about 3168.9998422215. Note that the first 3 decimals coincide. The cubic root of 10042560 is about 215.7486788888.

Adding to 10042560 its reverse (6524001), we get a palindrome (16566561).

The spelling of 10042560 in words is "ten million, forty-two thousand, five hundred sixty".