1656096 has 48 divisors (see below), whose sum is σ = 4685184. Its totient is φ = 509184.

The previous prime is 1656079. The next prime is 1656101. The reversal of 1656096 is 6906561.

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

It is a super-2 number, since 2×1656096² = 5485307922432, which contains 22 as substring.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585 + ... + 1911.

It is an arithmetic number, because the mean of its divisors is an integer number (97608).

2^1656096 is an apocalyptic number.

1656096 is a gapful number since it is divisible by the number (16) 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 1656096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342592).

1656096 is an abundant number, since it is smaller than the sum of its proper divisors (3029088).

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

1656096 is a wasteful number, since it uses less digits than its factorization.

1656096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 1656096 is about 1286.8939350234. The cubic root of 1656096 is about 118.3119201263.

The spelling of 1656096 in words is "one million, six hundred fifty-six thousand, ninety-six".