10964142 has 72 divisors (see below), whose sum is σ = 28596672. Its totient is φ = 3024000.

The previous prime is 10964119. The next prime is 10964143. The reversal of 10964142 is 24146901.

10964142 is a `hidden beast` number, since 10 + 9 + 641 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10964143) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 27142 + ... + 27542.

It is an arithmetic number, because the mean of its divisors is an integer number (397176).

Almost surely, 2^10964142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10964142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14298336).

10964142 is an abundant number, since it is smaller than the sum of its proper divisors (17632530).

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

10964142 is a wasteful number, since it uses less digits than its factorization.

10964142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10964142 is about 3311.2145807845. The cubic root of 10964142 is about 222.1560869677.

The spelling of 10964142 in words is "ten million, nine hundred sixty-four thousand, one hundred forty-two".