10606401 has 24 divisors (see below), whose sum is σ = 16609320. Its totient is φ = 6483456.

The previous prime is 10606369. The next prime is 10606411. The reversal of 10606401 is 10460601.

It can be written as a sum of positive squares in 4 ways, for example, as 360000 + 10246401 = 600^2 + 3201^2 .

It is not a de Polignac number, because 10606401 - 2⁵ = 10606369 is a prime.

It is a super-2 number, since 2×10606401² = 224991484345602, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10606411) 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 23 ways as a sum of consecutive naturals, for example, 31305 + ... + 31641.

It is an arithmetic number, because the mean of its divisors is an integer number (692055).

Almost surely, 2^10606401 is an apocalyptic number.

It is an amenable number.

10606401 is a deficient number, since it is larger than the sum of its proper divisors (6002919).

10606401 is a wasteful number, since it uses less digits than its factorization.

10606401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10606401 is about 3256.7469966210. The cubic root of 10606401 is about 219.7131316110.

The spelling of 10606401 in words is "ten million, six hundred six thousand, four hundred one".