1916257680 has 240 divisors, whose sum is σ = 6961054464. Its totient is φ = 470568960.

The previous prime is 1916257649. The next prime is 1916257723. The reversal of 1916257680 is 867526191.

1916257680 is a `hidden beast` number, since 19 + 1 + 62 + 576 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 573615 + ... + 576945.

Almost surely, 2^1916257680 is an apocalyptic number.

1916257680 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 1916257680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480527232).

1916257680 is an abundant number, since it is smaller than the sum of its proper divisors (5044796784).

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

1916257680 is a wasteful number, since it uses less digits than its factorization.

1916257680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1916257680 is about 43775.0805824501. The cubic root of 1916257680 is about 1242.0849592205.

The spelling of 1916257680 in words is "one billion, nine hundred sixteen million, two hundred fifty-seven thousand, six hundred eighty".