10406952 has 24 divisors (see below), whose sum is σ = 28185690. Its totient is φ = 3468960.

The previous prime is 10406947. The next prime is 10406959. The reversal of 10406952 is 25960401.

It can be written as a sum of positive squares in only one way, i.e., 6022116 + 4384836 = 2454^2 + 2094^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (10406959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72199 + ... + 72342.

Almost surely, 2^10406952 is an apocalyptic number.

10406952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10406952 is an abundant number, since it is smaller than the sum of its proper divisors (17778738).

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

10406952 is a wasteful number, since it uses less digits than its factorization.

10406952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144553 (or 144546 counting only the distinct ones).

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

The square root of 10406952 is about 3225.9807810959. The cubic root of 10406952 is about 218.3272027233.

The spelling of 10406952 in words is "ten million, four hundred six thousand, nine hundred fifty-two".