1683690624 has 768 divisors, whose sum is σ = 6772147200. Its totient is φ = 403107840.

The previous prime is 1683690601. The next prime is 1683690653. The reversal of 1683690624 is 4260963861.

1683690624 is a `hidden beast` number, since 16 + 8 + 3 + 6 + 9 + 0 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1683690624.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 45505134 + ... + 45505170.

It is an arithmetic number, because the mean of its divisors is an integer number (8817900).

Almost surely, 2^1683690624 is an apocalyptic number.

1683690624 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 1683690624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386073600).

1683690624 is an abundant number, since it is smaller than the sum of its proper divisors (5088456576).

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

1683690624 is a wasteful number, since it uses less digits than its factorization.

1683690624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 1683690624 is about 41032.7993683102. The cubic root of 1683690624 is about 1189.6542610691.

The spelling of 1683690624 in words is "one billion, six hundred eighty-three million, six hundred ninety thousand, six hundred twenty-four".