10206468 has 36 divisors (see below), whose sum is σ = 25896780. Its totient is φ = 3389376.

The previous prime is 10206461. The next prime is 10206479. The reversal of 10206468 is 86460201.

10206468 is a `hidden beast` number, since 10 + 2 + 0 + 646 + 8 = 666.

10206468 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4359744 + 5846724 = 2088^2 + 2418^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (10206461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18046 + ... + 18602.

It is an arithmetic number, because the mean of its divisors is an integer number (719355).

Almost surely, 2^10206468 is an apocalyptic number.

10206468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10206468 is an abundant number, since it is smaller than the sum of its proper divisors (15690312).

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

10206468 is a wasteful number, since it uses less digits than its factorization.

10206468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10206468 is about 3194.7563287362. The cubic root of 10206468 is about 216.9161192647.

Adding to 10206468 its reverse (86460201), we get a palindrome (96666669).

The spelling of 10206468 in words is "ten million, two hundred six thousand, four hundred sixty-eight".