10742368 has 144 divisors (see below), whose sum is σ = 28957824. Its totient is φ = 3870720.

The previous prime is 10742363. The next prime is 10742387. The reversal of 10742368 is 86324701.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10742363) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 346513 + ... + 346543.

It is an arithmetic number, because the mean of its divisors is an integer number (201096).

Almost surely, 2^10742368 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 10742368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478912).

10742368 is an abundant number, since it is smaller than the sum of its proper divisors (18215456).

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

10742368 is a wasteful number, since it uses less digits than its factorization.

10742368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 10742368 is about 3277.5551864156. Note that the first 3 decimals coincide. The cubic root of 10742368 is about 220.6480067868.

10742368 divided by its sum of digits (31) gives a triangular number (346528 = T₈₃₂).

The spelling of 10742368 in words is "ten million, seven hundred forty-two thousand, three hundred sixty-eight".