1791936 has 112 divisors (see below), whose sum is σ = 5669280. Its totient is φ = 552960.

The previous prime is 1791901. The next prime is 1791941. The reversal of 1791936 is 6391971.

1791936 = 75³ + 76³ + ... + 78³.

It is a super-2 number, since 2×1791936² = 6422069256192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 1791936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29346 + ... + 29406.

2^1791936 is an apocalyptic number.

1791936 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 1791936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834640).

1791936 is an abundant number, since it is smaller than the sum of its proper divisors (3877344).

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

1791936 is a wasteful number, since it uses less digits than its factorization.

1791936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

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

The square root of 1791936 is about 1338.6321376689. The cubic root of 1791936 is about 121.4621128631.

It can be divided in two parts, 17919 and 36, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 1791936 in words is "one million, seven hundred ninety-one thousand, nine hundred thirty-six".