1914072160 has 768 divisors, whose sum is σ = 6949877760. Its totient is φ = 477757440.

The previous prime is 1914072137. The next prime is 1914072163. The reversal of 1914072160 is 612704191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1914072163) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 51731662 + ... + 51731698.

It is an arithmetic number, because the mean of its divisors is an integer number (9049320).

Almost surely, 2^1914072160 is an apocalyptic number.

1914072160 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 1914072160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474938880).

1914072160 is an abundant number, since it is smaller than the sum of its proper divisors (5035805600).

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

1914072160 is a wasteful number, since it uses less digits than its factorization.

1914072160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 1914072160 is about 43750.1103998607. The cubic root of 1914072160 is about 1241.6125742142.

The spelling of 1914072160 in words is "one billion, nine hundred fourteen million, seventy-two thousand, one hundred sixty".