906661 has 16 divisors (see below), whose sum is σ = 1157760. Its totient is φ = 691200.

The previous prime is 906649. The next prime is 906673. The reversal of 906661 is 166609.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (906649) and next prime (906673).

It is a 5-Lehmer number, since φ(906661) divides (906661-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 906661 - 2¹⁹ = 382373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2061 + ... + 2461.

It is an arithmetic number, because the mean of its divisors is an integer number (72360).

2⁹⁰⁶⁶⁶¹ is an apocalyptic number.

It is an amenable number.

906661 is a deficient number, since it is larger than the sum of its proper divisors (251099).

906661 is a wasteful number, since it uses less digits than its factorization.

906661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444.

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 906661 is about 952.1874815392. The cubic root of 906661 is about 96.7865430488.

The spelling of 906661 in words is "nine hundred six thousand, six hundred sixty-one".