1936480 has 144 divisors (see below), whose sum is σ = 6032880. Its totient is φ = 580608.

The previous prime is 1936457. The next prime is 1936489. The reversal of 1936480 is 846391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1936489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101911 + ... + 101929.

It is an arithmetic number, because the mean of its divisors is an integer number (41895).

2^1936480 is an apocalyptic number.

1936480 is a gapful number since it is divisible by the number (10) 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 1936480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016440).

1936480 is an abundant number, since it is smaller than the sum of its proper divisors (4096400).

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

1936480 is a wasteful number, since it uses less digits than its factorization.

1936480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 1936480 is about 1391.5746476564. The cubic root of 1936480 is about 124.6438931332.

The spelling of 1936480 in words is "one million, nine hundred thirty-six thousand, four hundred eighty".