966570 has 64 divisors (see below), whose sum is σ = 2643840. Its totient is φ = 224000.

The previous prime is 966557. The next prime is 966583. The reversal of 966570 is 75669.

It is an interprime number because it is at equal distance from previous prime (966557) and next prime (966583).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9520 + ... + 9620.

It is an arithmetic number, because the mean of its divisors is an integer number (41310).

2⁹⁶⁶⁵⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321920).

966570 is an abundant number, since it is smaller than the sum of its proper divisors (1677270).

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

966570 is a wasteful number, since it uses less digits than its factorization.

966570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 966570 is about 983.1429194171. The cubic root of 966570 is about 98.8730133913.

It can be divided in two parts, 96 and 6570, that added together give a palindrome (6666).

The spelling of 966570 in words is "nine hundred sixty-six thousand, five hundred seventy".