1930936320 has 360 divisors, whose sum is σ = 7013186544. Its totient is φ = 509607936.

The previous prime is 1930936307. The next prime is 1930936363. The reversal of 1930936320 is 236390391.

It is a happy number.

1930936320 is a `hidden beast` number, since 19 + 3 + 0 + 9 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

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 23 ways as a sum of consecutive naturals, for example, 19906512 + ... + 19906608.

Almost surely, 2^1930936320 is an apocalyptic number.

1930936320 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 1930936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506593272).

1930936320 is an abundant number, since it is smaller than the sum of its proper divisors (5082250224).

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

1930936320 is an frugal number, since it uses more digits than its factorization.

1930936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 1930936320 is about 43942.4205068405. The cubic root of 1930936320 is about 1245.2483754716.

The spelling of 1930936320 in words is "one billion, nine hundred thirty million, nine hundred thirty-six thousand, three hundred twenty".