656160 has 48 divisors (see below), whose sum is σ = 2068416. Its totient is φ = 174848.

The previous prime is 656153. The next prime is 656171. The reversal of 656160 is 61656.

656160 = T₁₁₀ + T₁₁₁ + ... + T₁₇₃.

656160 = 266² + 267² + ... + 274².

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 656160.

It is an unprimeable number.

656160 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204 + ... + 1163.

It is an arithmetic number, because the mean of its divisors is an integer number (43092).

2⁶⁵⁶¹⁶⁰ is an apocalyptic number.

656160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034208).

656160 is an abundant number, since it is smaller than the sum of its proper divisors (1412256).

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

656160 is a wasteful number, since it uses less digits than its factorization.

656160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 656160 is about 810.0370361903. The cubic root of 656160 is about 86.8966933387.

The spelling of 656160 in words is "six hundred fifty-six thousand, one hundred sixty".