1683042984 has 144 divisors (see below), whose sum is σ = 5403090420. Its totient is φ = 471744000.

The previous prime is 1683042973. The next prime is 1683043003. The reversal of 1683042984 is 4892403861.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1676902500 + 6140484 = 40950^2 + 2478^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 182484 + ... + 191484.

Almost surely, 2^1683042984 is an apocalyptic number.

1683042984 is a gapful number since it is divisible by the number (14) 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 1683042984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701545210).

1683042984 is an abundant number, since it is smaller than the sum of its proper divisors (3720047436).

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

1683042984 is a wasteful number, since it uses less digits than its factorization.

1683042984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9080 (or 9066 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1683042984 is about 41024.9068737517. The cubic root of 1683042984 is about 1189.5017060245.

The spelling of 1683042984 in words is "one billion, six hundred eighty-three million, forty-two thousand, nine hundred eighty-four".