10125840 has 80 divisors (see below), whose sum is σ = 32426496. Its totient is φ = 2611200.

The previous prime is 10125799. The next prime is 10125847. The reversal of 10125840 is 4852101.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10125847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6760 + ... + 8120.

Almost surely, 2^10125840 is an apocalyptic number.

10125840 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 10125840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16213248).

10125840 is an abundant number, since it is smaller than the sum of its proper divisors (22300656).

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

10125840 is a wasteful number, since it uses less digits than its factorization.

10125840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 10125840 is about 3182.1125058678. The cubic root of 10125840 is about 216.3434180456.

Adding to 10125840 its reverse (4852101), we get a palindrome (14977941).

The spelling of 10125840 in words is "ten million, one hundred twenty-five thousand, eight hundred forty".