1914193120 has 96 divisors (see below), whose sum is σ = 5181926400. Its totient is φ = 654567936.

The previous prime is 1914193087. The next prime is 1914193121. The reversal of 1914193120 is 213914191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1914193121) 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 15 ways as a sum of consecutive naturals, for example, 467241 + ... + 471319.

It is an arithmetic number, because the mean of its divisors is an integer number (53978400).

Almost surely, 2^1914193120 is an apocalyptic number.

1914193120 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 1914193120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590963200).

1914193120 is an abundant number, since it is smaller than the sum of its proper divisors (3267733280).

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

1914193120 is a wasteful number, since it uses less digits than its factorization.

1914193120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 31.

The square root of 1914193120 is about 43751.4927745328. The cubic root of 1914193120 is about 1241.6387282775.

The spelling of 1914193120 in words is "one billion, nine hundred fourteen million, one hundred ninety-three thousand, one hundred twenty".