10734768 has 120 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 3240000.

The previous prime is 10734739. The next prime is 10734781. The reversal of 10734768 is 86743701.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 42643 + ... + 42893.

Almost surely, 2^10734768 is an apocalyptic number.

10734768 is a gapful number since it is divisible by the number (18) 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 10734768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).

10734768 is an abundant number, since it is smaller than the sum of its proper divisors (23388048).

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

10734768 is a wasteful number, since it uses less digits than its factorization.

10734768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 10734768 is about 3276.3955805122. The cubic root of 10734768 is about 220.5959598989.

The spelling of 10734768 in words is "ten million, seven hundred thirty-four thousand, seven hundred sixty-eight".