7406 has 12 divisors (see below), whose sum is σ = 13272. Its totient is φ = 3036.

The previous prime is 7393. The next prime is 7411. The reversal of 7406 is 6047.

7406 = T₁₃ + T₁₄ + ... + T₃₅.

It is a Curzon number.

It is a plaindrome in base 9 and base 16.

It is a congruent number.

It is an unprimeable number.

7406 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 311 + ... + 333.

It is an arithmetic number, because the mean of its divisors is an integer number (1106).

2⁷⁴⁰⁶ is an apocalyptic number.

7406 is a deficient number, since it is larger than the sum of its proper divisors (5866).

7406 is a wasteful number, since it uses less digits than its factorization.

7406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 7406 is about 86.0581198958. The cubic root of 7406 is about 19.4922169246.

The spelling of 7406 in words is "seven thousand, four hundred six".