10842240 has 64 divisors (see below), whose sum is σ = 34565760. Its totient is φ = 2890752.

The previous prime is 10842233. The next prime is 10842241. The reversal of 10842240 is 4224801.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (10842241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 904 + ... + 4743.

It is an arithmetic number, because the mean of its divisors is an integer number (540090).

Almost surely, 2^10842240 is an apocalyptic number.

10842240 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 10842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17282880).

10842240 is an abundant number, since it is smaller than the sum of its proper divisors (23723520).

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

10842240 is an equidigital number, since it uses as much as digits as its factorization.

10842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5669 (or 5657 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 10842240 is about 3292.7556848330. The cubic root of 10842240 is about 221.3296881708.

The spelling of 10842240 in words is "ten million, eight hundred forty-two thousand, two hundred forty".