10952640 has 84 divisors (see below), whose sum is σ = 37682424. Its totient is φ = 2919936.

The previous prime is 10952621. The next prime is 10952657. The reversal of 10952640 is 4625901.

10952640 is a `hidden beast` number, since 10 + 9 + 5 + 2 + 640 = 666.

10952640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 979 + ... + 4781.

Almost surely, 2^10952640 is an apocalyptic number.

10952640 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 10952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18841212).

10952640 is an abundant number, since it is smaller than the sum of its proper divisors (26729784).

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

10952640 is a wasteful number, since it uses less digits than its factorization.

10952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10952640 is about 3309.4773001186. The cubic root of 10952640 is about 222.0783750542.

The spelling of 10952640 in words is "ten million, nine hundred fifty-two thousand, six hundred forty".