10742544 has 80 divisors (see below), whose sum is σ = 31317440. Its totient is φ = 3569184.

The previous prime is 10742539. The next prime is 10742597. The reversal of 10742544 is 44524701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 34839 + ... + 35145.

It is an arithmetic number, because the mean of its divisors is an integer number (391468).

Almost surely, 2^10742544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10742544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15658720).

10742544 is an abundant number, since it is smaller than the sum of its proper divisors (20574896).

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

10742544 is an frugal number, since it uses more digits than its factorization.

10742544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 10742544 is about 3277.5820355866. The cubic root of 10742544 is about 220.6492117923.

The spelling of 10742544 in words is "ten million, seven hundred forty-two thousand, five hundred forty-four".