1688976960 has 448 divisors, whose sum is σ = 6193926144. Its totient is φ = 386252800.

The previous prime is 1688976959. The next prime is 1688976973. The reversal of 1688976960 is 696798861.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1688976894 and 1688976903.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20349079 + ... + 20349161.

It is an arithmetic number, because the mean of its divisors is an integer number (13825728).

Almost surely, 2^1688976960 is an apocalyptic number.

1688976960 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 1688976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096963072).

1688976960 is an abundant number, since it is smaller than the sum of its proper divisors (4504949184).

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

1688976960 is a wasteful number, since it uses less digits than its factorization.

1688976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The square root of 1688976960 is about 41097.1648657179. The cubic root of 1688976960 is about 1190.8980251518.

The spelling of 1688976960 in words is "one billion, six hundred eighty-eight million, nine hundred seventy-six thousand, nine hundred sixty".