1940590080 has 960 divisors, whose sum is σ = 8579450880. Its totient is φ = 398131200.

The previous prime is 1940590073. The next prime is 1940590117. The reversal of 1940590080 is 800950491.

It is a tau number, because it is divible by the number of its divisors (960).

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62599665 + ... + 62599695.

It is an arithmetic number, because the mean of its divisors is an integer number (8936928).

Almost surely, 2^1940590080 is an apocalyptic number.

1940590080 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 1940590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289725440).

1940590080 is an abundant number, since it is smaller than the sum of its proper divisors (6638860800).

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

1940590080 is a wasteful number, since it uses less digits than its factorization.

1940590080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1940590080 is about 44052.1291199415. The cubic root of 1940590080 is about 1247.3201425302.

The spelling of 1940590080 in words is "one billion, nine hundred forty million, five hundred ninety thousand, eighty".