10746640 has 20 divisors (see below), whose sum is σ = 24986124. Its totient is φ = 4298624.

The previous prime is 10746611. The next prime is 10746641. The reversal of 10746640 is 4664701.

10746640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5308416 + 5438224 = 2304^2 + 2332^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 10746599 and 10746608.

It is not an unprimeable number, because it can be changed into a prime (10746641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67087 + ... + 67246.

Almost surely, 2^10746640 is an apocalyptic number.

10746640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10746640 is an abundant number, since it is smaller than the sum of its proper divisors (14239484).

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

10746640 is a wasteful number, since it uses less digits than its factorization.

10746640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134346 (or 134340 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 10746640 is about 3278.2068269101. The cubic root of 10746640 is about 220.6772518397.

The spelling of 10746640 in words is "ten million, seven hundred forty-six thousand, six hundred forty".