90406 has 8 divisors (see below), whose sum is σ = 143640. Its totient is φ = 42528.

The previous prime is 90403. The next prime is 90407. The reversal of 90406 is 60409.

90406 = T₂₄₄ + T₂₄₅ + T₂₄₆.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1296 + ... + 1363.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2⁹⁰⁴⁰⁶ is an apocalyptic number.

90406 is the 246-th centered triangular number.

90406 is a deficient number, since it is larger than the sum of its proper divisors (53234).

90406 is a wasteful number, since it uses less digits than its factorization.

90406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 90406 is about 300.6759052535. The cubic root of 90406 is about 44.8813334378.

It can be divided in two parts, 90 and 406, that added together give a triangular number (496 = T₃₁).

The spelling of 90406 in words is "ninety thousand, four hundred six".