1688578640 has 160 divisors (see below), whose sum is σ = 4758743040. Its totient is φ = 544320000.

The previous prime is 1688578597. The next prime is 1688578667. The reversal of 1688578640 is 468758861.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1606115 + ... + 1607165.

It is an arithmetic number, because the mean of its divisors is an integer number (29742144).

Almost surely, 2^1688578640 is an apocalyptic number.

1688578640 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 1688578640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379371520).

1688578640 is an abundant number, since it is smaller than the sum of its proper divisors (3070164400).

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

1688578640 is a wasteful number, since it uses less digits than its factorization.

1688578640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 53.

The square root of 1688578640 is about 41092.3185035841. The cubic root of 1688578640 is about 1190.8043992848.

The spelling of 1688578640 in words is "one billion, six hundred eighty-eight million, five hundred seventy-eight thousand, six hundred forty".