966690 has 48 divisors (see below), whose sum is σ = 2628288. Its totient is φ = 246048.

The previous prime is 966677. The next prime is 966727. The reversal of 966690 is 96669.

It is a super-2 number, since 2×966690² = 1868979112200, which contains 22 as substring.

It is an unprimeable number.

966690 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 23 ways as a sum of consecutive naturals, for example, 1837 + ... + 2303.

It is an arithmetic number, because the mean of its divisors is an integer number (54756).

2⁹⁶⁶⁶⁹⁰ is an apocalyptic number.

966690 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 966690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314144).

966690 is an abundant number, since it is smaller than the sum of its proper divisors (1661598).

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

966690 is a wasteful number, since it uses less digits than its factorization.

966690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 966690 is about 983.2039462899. The cubic root of 966690 is about 98.8771049283.

It can be divided in two parts, 96 and 6690, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 966690 in words is "nine hundred sixty-six thousand, six hundred ninety".