966900 has 72 divisors (see below), whose sum is σ = 3062304. Its totient is φ = 233600.

The previous prime is 966893. The next prime is 966907. The reversal of 966900 is 9669.

966900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (966893) and next prime (966907).

It is a super-2 number, since 2×966900² = 1869791220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966907) by changing a digit.

966900 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 23 ways as a sum of consecutive naturals, for example, 3154 + ... + 3446.

It is an arithmetic number, because the mean of its divisors is an integer number (42532).

2⁹⁶⁶⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531152).

966900 is an abundant number, since it is smaller than the sum of its proper divisors (2095404).

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

966900 is a wasteful number, since it uses less digits than its factorization.

966900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 966900 is about 983.3107342036. The cubic root of 966900 is about 98.8842643033.

Multiplying 966900 by its reverse (9669), we get a square (9348956100 = 96690²).

966900 divided by its reverse (9669) gives a square (100 = 10²).

It can be divided in two parts, 96 and 6900, that added together give a palindrome (6996).

The spelling of 966900 in words is "nine hundred sixty-six thousand, nine hundred".