1956096 has 72 divisors (see below), whose sum is σ = 5804960. Its totient is φ = 649728.

The previous prime is 1956091. The next prime is 1956109. The reversal of 1956096 is 6906591.

1956096 is a `hidden beast` number, since 1 + 9 + 560 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1956096² = 7652623122432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 1 + 9³ + 5⁹ + 6³ + 0 + 9³ + 6⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 1956096.

It is not an unprimeable number, because it can be changed into a prime (1956091) 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, 6771 + ... + 7053.

2^1956096 is an apocalyptic number.

1956096 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 1956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902480).

1956096 is an abundant number, since it is smaller than the sum of its proper divisors (3848864).

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

1956096 is an equidigital number, since it uses as much as digits as its factorization.

1956096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 1956096 is about 1398.6050192960. The cubic root of 1956096 is about 125.0633492229.

The spelling of 1956096 in words is "one million, nine hundred fifty-six thousand, ninety-six".