1682607264 has 144 divisors (see below), whose sum is σ = 4913752032. Its totient is φ = 503553024.

The previous prime is 1682607259. The next prime is 1682607281. The reversal of 1682607264 is 4627062861.

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 23 ways as a sum of consecutive naturals, for example, 598887 + ... + 601689.

It is an arithmetic number, because the mean of its divisors is an integer number (34123278).

Almost surely, 2^1682607264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1682607264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456876016).

1682607264 is an abundant number, since it is smaller than the sum of its proper divisors (3231144768).

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

1682607264 is a wasteful number, since it uses less digits than its factorization.

1682607264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 1682607264 is about 41019.5960974752. The cubic root of 1682607264 is about 1189.3990478391.

The spelling of 1682607264 in words is "one billion, six hundred eighty-two million, six hundred seven thousand, two hundred sixty-four".