906414 has 16 divisors (see below), whose sum is σ = 1908480. Its totient is φ = 286200.

The previous prime is 906403. The next prime is 906421. The reversal of 906414 is 414609.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 906414.

It is an unprimeable number.

906414 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 7 ways as a sum of consecutive naturals, for example, 3862 + ... + 4089.

It is an arithmetic number, because the mean of its divisors is an integer number (119280).

2⁹⁰⁶⁴¹⁴ is an apocalyptic number.

906414 is an abundant number, since it is smaller than the sum of its proper divisors (1002066).

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

906414 is a wasteful number, since it uses less digits than its factorization.

906414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7975.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 906414 is about 952.0577713563. The cubic root of 906414 is about 96.7777531235. Note that the first 4 decimals are identical.

The spelling of 906414 in words is "nine hundred six thousand, four hundred fourteen".