90706 has 32 divisors (see below), whose sum is σ = 184320. Its totient is φ = 32400.

The previous prime is 90703. The next prime is 90709. The reversal of 90706 is 60709.

It is an interprime number because it is at equal distance from previous prime (90703) and next prime (90709).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90703) 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 15 ways as a sum of consecutive naturals, for example, 2911 + ... + 2941.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

2⁹⁰⁷⁰⁶ is an apocalyptic number.

90706 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92160).

90706 is a wasteful number, since it uses less digits than its factorization.

90706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 90706 is about 301.1743680993. The cubic root of 90706 is about 44.9309228240.

The spelling of 90706 in words is "ninety thousand, seven hundred six".