1916688400 has 135 divisors (see below), whose sum is σ = 5087085213. Its totient is φ = 693475200.

The previous prime is 1916688383. The next prime is 1916688401. The reversal of 1916688400 is 48866191.

The square root of 1916688400 is 43780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 690007824 + 1226680576 = 26268^2 + 35024^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1916688401) 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 26 ways as a sum of consecutive naturals, for example, 9631501 + ... + 9631699.

Almost surely, 2^1916688400 is an apocalyptic number.

1916688400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1916688400 is the 43780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1916688400

1916688400 is an abundant number, since it is smaller than the sum of its proper divisors (3170396813).

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

1916688400 is a wasteful number, since it uses less digits than its factorization.

1916688400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The cubic root of 1916688400 is about 1242.1780139908.

Multiplying 1916688400 by its product of nonzero digits (82944), we get a square (158977802649600 = 12608640²).

The spelling of 1916688400 in words is "one billion, nine hundred sixteen million, six hundred eighty-eight thousand, four hundred".