10742656 has 64 divisors (see below), whose sum is σ = 23133600. Its totient is φ = 4956160.

The previous prime is 10742651. The next prime is 10742659. The reversal of 10742656 is 65624701.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10742651) 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 7 ways as a sum of consecutive naturals, for example, 120660 + ... + 120748.

Almost surely, 2^10742656 is an apocalyptic number.

10742656 is a gapful number since it is divisible by the number (16) 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 10742656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11566800).

10742656 is an abundant number, since it is smaller than the sum of its proper divisors (12390944).

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

10742656 is an equidigital number, since it uses as much as digits as its factorization.

10742656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 10742656 is about 3277.5991213082. The cubic root of 10742656 is about 220.6499786071.

The spelling of 10742656 in words is "ten million, seven hundred forty-two thousand, six hundred fifty-six".