10956640 has 72 divisors (see below), whose sum is σ = 27300672. Its totient is φ = 4151040.

The previous prime is 10956629. The next prime is 10956661. The reversal of 10956640 is 4665901.

10956640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 233097 + ... + 233143.

It is an arithmetic number, because the mean of its divisors is an integer number (379176).

Almost surely, 2^10956640 is an apocalyptic number.

10956640 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 10956640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13650336).

10956640 is an abundant number, since it is smaller than the sum of its proper divisors (16344032).

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

10956640 is an equidigital number, since it uses as much as digits as its factorization.

10956640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 10956640 is about 3310.0815699919. The cubic root of 10956640 is about 222.1054067526.

The spelling of 10956640 in words is "ten million, nine hundred fifty-six thousand, six hundred forty".