1930320 has 120 divisors (see below), whose sum is σ = 7428096. Its totient is φ = 440064.

The previous prime is 1930309. The next prime is 1930349. The reversal of 1930320 is 230391.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1930320² = 7452270604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1930293 and 1930302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4849 + ... + 5231.

2^1930320 is an apocalyptic number.

1930320 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 1930320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714048).

1930320 is an abundant number, since it is smaller than the sum of its proper divisors (5497776).

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

1930320 is a wasteful number, since it uses less digits than its factorization.

1930320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1930320 is about 1389.3595646916. The cubic root of 1930320 is about 124.5115874443.

The spelling of 1930320 in words is "one million, nine hundred thirty thousand, three hundred twenty".