10726464 has 112 divisors (see below), whose sum is σ = 33942528. Its totient is φ = 2923008.

The previous prime is 10726447. The next prime is 10726477. The reversal of 10726464 is 46462701.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30739 + ... + 31085.

Almost surely, 2^10726464 is an apocalyptic number.

10726464 is a gapful number since it is divisible by the number (14) 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 10726464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16971264).

10726464 is an abundant number, since it is smaller than the sum of its proper divisors (23216064).

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

10726464 is a wasteful number, since it uses less digits than its factorization.

10726464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 10726464 is about 3275.1280890982. The cubic root of 10726464 is about 220.5390637338.

The spelling of 10726464 in words is "ten million, seven hundred twenty-six thousand, four hundred sixty-four".