10747296 has 96 divisors (see below), whose sum is σ = 35844480. Its totient is φ = 3068928.

The previous prime is 10747273. The next prime is 10747333. The reversal of 10747296 is 69274701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×10747296³ (a number of 22 digits) contains 333 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 10747296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5160 + ... + 6936.

It is an arithmetic number, because the mean of its divisors is an integer number (373380).

Almost surely, 2^10747296 is an apocalyptic number.

10747296 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 10747296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922240).

10747296 is an abundant number, since it is smaller than the sum of its proper divisors (25097184).

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

10747296 is a wasteful number, since it uses less digits than its factorization.

10747296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 10747296 is about 3278.3068800831. The cubic root of 10747296 is about 220.6817419666.

The spelling of 10747296 in words is "ten million, seven hundred forty-seven thousand, two hundred ninety-six".