1956768 has 96 divisors (see below), whose sum is σ = 5987520. Its totient is φ = 552960.

The previous prime is 1956763. The next prime is 1956769. The reversal of 1956768 is 8676591.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1956761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17898 + ... + 18006.

It is an arithmetic number, because the mean of its divisors is an integer number (62370).

2^1956768 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 1956768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993760).

1956768 is an abundant number, since it is smaller than the sum of its proper divisors (4030752).

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

1956768 is a wasteful number, since it uses less digits than its factorization.

1956768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 1956768 is about 1398.8452380446. The cubic root of 1956768 is about 125.0776690635.

The spelling of 1956768 in words is "one million, nine hundred fifty-six thousand, seven hundred sixty-eight".