10763640 has 96 divisors (see below), whose sum is σ = 36223200. Its totient is φ = 2768640.

The previous prime is 10763639. The next prime is 10763647. The reversal of 10763640 is 4636701.

10763640 is a `hidden beast` number, since 10 + 7 + 6 + 3 + 640 = 666.

10763640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10763647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9925 + ... + 10955.

It is an arithmetic number, because the mean of its divisors is an integer number (377325).

Almost surely, 2^10763640 is an apocalyptic number.

10763640 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 10763640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18111600).

10763640 is an abundant number, since it is smaller than the sum of its proper divisors (25459560).

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

10763640 is a wasteful number, since it uses less digits than its factorization.

10763640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 10763640 is about 3280.7986832477. The cubic root of 10763640 is about 220.7935528993.

The spelling of 10763640 in words is "ten million, seven hundred sixty-three thousand, six hundred forty".