10406890 has 48 divisors (see below), whose sum is σ = 21507192. Its totient is φ = 3603456.

The previous prime is 10406867. The next prime is 10406933. The reversal of 10406890 is 9860401.

It can be written as a sum of positive squares in 12 ways, for example, as 603729 + 9803161 = 777^2 + 3131^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37432 + ... + 37708.

Almost surely, 2^10406890 is an apocalyptic number.

10406890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10406890 is an abundant number, since it is smaller than the sum of its proper divisors (11100302).

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

10406890 is a wasteful number, since it uses less digits than its factorization.

10406890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 10406890 is about 3225.9711716009. The cubic root of 10406890 is about 218.3267691569.

The spelling of 10406890 in words is "ten million, four hundred six thousand, eight hundred ninety".