10742640 has 80 divisors (see below), whose sum is σ = 35274528. Its totient is φ = 2695168.

The previous prime is 10742639. The next prime is 10742651. The reversal of 10742640 is 4624701.

It is a tau number, because it is divible by the number of its divisors (80).

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 10742640.

It is a congruent number.

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, 2764 + ... + 5396.

Almost surely, 2^10742640 is an apocalyptic number.

10742640 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 10742640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17637264).

10742640 is an abundant number, since it is smaller than the sum of its proper divisors (24531888).

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

10742640 is a wasteful number, since it uses less digits than its factorization.

10742640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2660 counting only the distinct ones).

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

The square root of 10742640 is about 3277.5966804962. The cubic root of 10742640 is about 220.6498690625.

The spelling of 10742640 in words is "ten million, seven hundred forty-two thousand, six hundred forty".