1936872 has 120 divisors (see below), whose sum is σ = 6414210. Its totient is φ = 544320.

The previous prime is 1936871. The next prime is 1936889. The reversal of 1936872 is 2786391.

It can be written as a sum of positive squares in only one way, i.e., 1920996 + 15876 = 1386^2 + 126^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is not an unprimeable number, because it can be changed into a prime (1936871) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31722 + ... + 31782.

2^1936872 is an apocalyptic number.

1936872 is a gapful number since it is divisible by the number (12) 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 1936872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207105).

1936872 is an abundant number, since it is smaller than the sum of its proper divisors (4477338).

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

1936872 is a wasteful number, since it uses less digits than its factorization.

1936872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 1936872 is about 1391.7154881656. The cubic root of 1936872 is about 124.6523030849.

The spelling of 1936872 in words is "one million, nine hundred thirty-six thousand, eight hundred seventy-two".