656096 has 48 divisors (see below), whose sum is σ = 1542240. Its totient is φ = 268800.

The previous prime is 656077. The next prime is 656113. The reversal of 656096 is 690656.

It is a super-2 number, since 2×656096² = 860923922432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

656096 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 7 ways as a sum of consecutive naturals, for example, 6446 + ... + 6546.

It is an arithmetic number, because the mean of its divisors is an integer number (32130).

2⁶⁵⁶⁰⁹⁶ 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 656096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771120).

656096 is an abundant number, since it is smaller than the sum of its proper divisors (886144).

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

656096 is a wasteful number, since it uses less digits than its factorization.

656096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 656096 is about 809.9975308604. The cubic root of 656096 is about 86.8938680272.

656096 divided by its sum of digits (32) gives a triangular number (20503 = T₂₀₂).

The spelling of 656096 in words is "six hundred fifty-six thousand, ninety-six".