10442640 has 80 divisors (see below), whose sum is σ = 34872768. Its totient is φ = 2569728.

The previous prime is 10442617. The next prime is 10442657. The reversal of 10442640 is 4624401.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1447 + ... + 4793.

Almost surely, 2^10442640 is an apocalyptic number.

10442640 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 10442640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17436384).

10442640 is an abundant number, since it is smaller than the sum of its proper divisors (24430128).

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

10442640 is a wasteful number, since it uses less digits than its factorization.

10442640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 10442640 is about 3231.5073882014. The cubic root of 10442640 is about 218.5764838972.

The spelling of 10442640 in words is "ten million, four hundred forty-two thousand, six hundred forty".