1971936 has 72 divisors (see below), whose sum is σ = 5778864. Its totient is φ = 637440.

The previous prime is 1971911. The next prime is 1971967. The reversal of 1971936 is 6391791.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 1971936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11725 + ... + 11891.

It is an arithmetic number, because the mean of its divisors is an integer number (80262).

2^1971936 is an apocalyptic number.

1971936 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 1971936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889432).

1971936 is an abundant number, since it is smaller than the sum of its proper divisors (3806928).

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

1971936 is a wasteful number, since it uses less digits than its factorization.

1971936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The square root of 1971936 is about 1404.2563868468. The cubic root of 1971936 is about 125.4000198408.

The spelling of 1971936 in words is "one million, nine hundred seventy-one thousand, nine hundred thirty-six".