1683354960 has 800 divisors, whose sum is σ = 7389169920. Its totient is φ = 346374144.

The previous prime is 1683354941. The next prime is 1683354973. The reversal of 1683354960 is 694533861.

1683354960 is a `hidden beast` number, since 16 + 8 + 33 + 549 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28531411 + ... + 28531469.

Almost surely, 2^1683354960 is an apocalyptic number.

1683354960 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 1683354960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694584960).

1683354960 is an abundant number, since it is smaller than the sum of its proper divisors (5705814960).

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

1683354960 is a wasteful number, since it uses less digits than its factorization.

1683354960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 1683354960 is about 41028.7089731081. The cubic root of 1683354960 is about 1189.5751985141.

The spelling of 1683354960 in words is "one billion, six hundred eighty-three million, three hundred fifty-four thousand, nine hundred sixty".