10760640 has 112 divisors (see below), whose sum is σ = 37307520. Its totient is φ = 2606080.

The previous prime is 10760611. The next prime is 10760647. The reversal of 10760640 is 4606701.

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 10760640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10760647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10051 + ... + 11069.

Almost surely, 2^10760640 is an apocalyptic number.

10760640 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 10760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18653760).

10760640 is an abundant number, since it is smaller than the sum of its proper divisors (26546880).

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

10760640 is a wasteful number, since it uses less digits than its factorization.

10760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 10760640 is about 3280.3414456425. The cubic root of 10760640 is about 220.7730380857.

The spelling of 10760640 in words is "ten million, seven hundred sixty thousand, six hundred forty".