96570 has 48 divisors (see below), whose sum is σ = 266760. Its totient is φ = 24192.

The previous prime is 96557. The next prime is 96581. The reversal of 96570 is 7569.

96570 is a `hidden beast` number, since 9 + 657 + 0 = 666.

96570 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 4 ways, for example, as 91809 + 4761 = 303^2 + 69^2 .

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

96570 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, 2592 + ... + 2628.

2⁹⁶⁵⁷⁰ is an apocalyptic number.

96570 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 96570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133380).

96570 is an abundant number, since it is smaller than the sum of its proper divisors (170190).

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

96570 is a wasteful number, since it uses less digits than its factorization.

96570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 96570 is about 310.7571399019. The cubic root of 96570 is about 45.8790141439.

It can be divided in two parts, 965 and 70, that added together give a triangular number (1035 = T₄₅).

The spelling of 96570 in words is "ninety-six thousand, five hundred seventy".