10746240 has 128 divisors (see below), whose sum is σ = 35618400. Its totient is φ = 2752512.

The previous prime is 10746163. The next prime is 10746247. The reversal of 10746240 is 4264701.

10746240 = T₁₅ + T₁₆ + ... + T₄₀₀.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10746240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10746247) 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 15 ways as a sum of consecutive naturals, for example, 55584 + ... + 55776.

Almost surely, 2^10746240 is an apocalyptic number.

10746240 is a gapful number since it is divisible by the number (10) 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 10746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17809200).

10746240 is an abundant number, since it is smaller than the sum of its proper divisors (24872160).

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

10746240 is a wasteful number, since it uses less digits than its factorization.

10746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 10746240 is about 3278.1458173791. The cubic root of 10746240 is about 220.6745138678.

The spelling of 10746240 in words is "ten million, seven hundred forty-six thousand, two hundred forty".