1957968 has 30 divisors (see below), whose sum is σ = 5479994. Its totient is φ = 652608.

The previous prime is 1957957. The next prime is 1957981. The reversal of 1957968 is 8697591.

1957968 is a `hidden beast` number, since 19 + 579 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1272384 + 685584 = 1128^2 + 828^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6655 + ... + 6942.

2^1957968 is an apocalyptic number.

1957968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1957968 is an abundant number, since it is smaller than the sum of its proper divisors (3522026).

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

1957968 is a wasteful number, since it uses less digits than its factorization.

1957968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13611 (or 13602 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 1957968 is about 1399.2740975234. The cubic root of 1957968 is about 125.1032320550.

The spelling of 1957968 in words is "one million, nine hundred fifty-seven thousand, nine hundred sixty-eight".