1688004990 has 96 divisors (see below), whose sum is σ = 5132514816. Its totient is φ = 376850880.

The previous prime is 1688004977. The next prime is 1688005013. The reversal of 1688004990 is 994008861.

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 47 ways as a sum of consecutive naturals, for example, 4066 + ... + 58245.

It is an arithmetic number, because the mean of its divisors is an integer number (53463696).

Almost surely, 2^1688004990 is an apocalyptic number.

1688004990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1688004990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566257408).

1688004990 is an abundant number, since it is smaller than the sum of its proper divisors (3444509826).

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

1688004990 is a wasteful number, since it uses less digits than its factorization.

1688004990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62374 (or 62371 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1688004990 is about 41085.3378956532. The cubic root of 1688004990 is about 1190.6695358958.

The spelling of 1688004990 in words is "one billion, six hundred eighty-eight million, four thousand, nine hundred ninety".