10743642 has 72 divisors (see below), whose sum is σ = 29192436. Its totient is φ = 2830464.

The previous prime is 10743641. The next prime is 10743661. The reversal of 10743642 is 24634701.

10743642 is a `hidden beast` number, since 10 + 7 + 4 + 3 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8520561 + 2223081 = 2919^2 + 1491^2 .

It is not an unprimeable number, because it can be changed into a prime (10743641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10998 + ... + 11934.

Almost surely, 2^10743642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10743642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14596218).

10743642 is an abundant number, since it is smaller than the sum of its proper divisors (18448794).

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

10743642 is a wasteful number, since it uses less digits than its factorization.

10743642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 10743642 is about 3277.7495328350. The cubic root of 10743642 is about 220.6567290862.

The spelling of 10743642 in words is "ten million, seven hundred forty-three thousand, six hundred forty-two".