1916734720 has 108 divisors (see below), whose sum is σ = 4671498636. Its totient is φ = 753500160.

The previous prime is 1916734697. The next prime is 1916734733. The reversal of 1916734720 is 274376191.

It can be written as a sum of positive squares in 6 ways, for example, as 14379264 + 1902355456 = 3792^2 + 43616^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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 11 ways as a sum of consecutive naturals, for example, 6820980 + ... + 6821260.

It is an arithmetic number, because the mean of its divisors is an integer number (43254617).

Almost surely, 2^1916734720 is an apocalyptic number.

1916734720 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 1916734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335749318).

1916734720 is an abundant number, since it is smaller than the sum of its proper divisors (2754763916).

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

1916734720 is an frugal number, since it uses more digits than its factorization.

1916734720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 1916734720 is about 43780.5290054837. The cubic root of 1916734720 is about 1242.1880203508.

The spelling of 1916734720 in words is "one billion, nine hundred sixteen million, seven hundred thirty-four thousand, seven hundred twenty".