1683261216 has 384 divisors, whose sum is σ = 6141542400. Its totient is φ = 436700160.

The previous prime is 1683261211. The next prime is 1683261257. The reversal of 1683261216 is 6121623861.

It is a happy number.

1683261216 is a `hidden beast` number, since 1 + 6 + 8 + 32 + 612 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1683261211) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6211161 + ... + 6211431.

It is an arithmetic number, because the mean of its divisors is an integer number (15993600).

Almost surely, 2^1683261216 is an apocalyptic number.

1683261216 is a gapful number since it is divisible by the number (16) 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 1683261216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070771200).

1683261216 is an abundant number, since it is smaller than the sum of its proper divisors (4458281184).

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

1683261216 is a wasteful number, since it uses less digits than its factorization.

1683261216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 375 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1683261216 is about 41027.5665376342. The cubic root of 1683261216 is about 1189.5531161033.

The spelling of 1683261216 in words is "one billion, six hundred eighty-three million, two hundred sixty-one thousand, two hundred sixteen".