1972896 has 24 divisors (see below), whose sum is σ = 5179104. Its totient is φ = 657600.

The previous prime is 1972891. The next prime is 1972913. The reversal of 1972896 is 6982791.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (1972891) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10180 + ... + 10371.

It is an arithmetic number, because the mean of its divisors is an integer number (215796).

2^1972896 is an apocalyptic number.

1972896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1972896 is an abundant number, since it is smaller than the sum of its proper divisors (3206208).

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

1972896 is a wasteful number, since it uses less digits than its factorization.

1972896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20564 (or 20556 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 1972896 is about 1404.5981631769. The cubic root of 1972896 is about 125.4203660875.

The spelling of 1972896 in words is "one million, nine hundred seventy-two thousand, eight hundred ninety-six".