1792120 has 32 divisors (see below), whose sum is σ = 4399920. Its totient is φ = 651520.

The previous prime is 1792117. The next prime is 1792121. The reversal of 1792120 is 212971.

It is a super-4 number, since 4×1792120⁴ (a number of 26 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1792091 and 1792100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1792121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1597 + ... + 2476.

2^1792120 is an apocalyptic number.

1792120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1792120 is an abundant number, since it is smaller than the sum of its proper divisors (2607800).

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

1792120 is a wasteful number, since it uses less digits than its factorization.

1792120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 1792120 is about 1338.7008627770. The cubic root of 1792120 is about 121.4662700547.

The spelling of 1792120 in words is "one million, seven hundred ninety-two thousand, one hundred twenty".