656120 has 32 divisors (see below), whose sum is σ = 1512000. Its totient is φ = 256128.

The previous prime is 656119. The next prime is 656129. The reversal of 656120 is 21656.

656120 = T₄₀₁ + T₄₀₂ + ... + T₄₀₈.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 656092 and 656101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1706 + ... + 2054.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

2⁶⁵⁶¹²⁰ 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 656120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756000).

656120 is an abundant number, since it is smaller than the sum of its proper divisors (855880).

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

656120 is a wasteful number, since it uses less digits than its factorization.

656120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 656120 is about 810.0123455849. The cubic root of 656120 is about 86.8949275405.

Subtracting from 656120 its sum of digits (20), we obtain a square (656100 = 810²).

Adding to 656120 its reverse (21656), we get a palindrome (677776).

The spelling of 656120 in words is "six hundred fifty-six thousand, one hundred twenty".