1914341760 has 384 divisors, whose sum is σ = 6965637120. Its totient is φ = 483840000.

The previous prime is 1914341753. The next prime is 1914341771. The reversal of 1914341760 is 671434191.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 12677685 + ... + 12677835.

It is an arithmetic number, because the mean of its divisors is an integer number (18139680).

Almost surely, 2^1914341760 is an apocalyptic number.

1914341760 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 1914341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482818560).

1914341760 is an abundant number, since it is smaller than the sum of its proper divisors (5051295360).

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

1914341760 is a wasteful number, since it uses less digits than its factorization.

1914341760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1914341760 is about 43753.1914264548. The cubic root of 1914341760 is about 1241.6708658227.

The spelling of 1914341760 in words is "one billion, nine hundred fourteen million, three hundred forty-one thousand, seven hundred sixty".