1685010264 has 128 divisors (see below), whose sum is σ = 4935168000. Its totient is φ = 469482624.

The previous prime is 1685010209. The next prime is 1685010277. The reversal of 1685010264 is 4620105861.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1377157 + ... + 1378379.

It is an arithmetic number, because the mean of its divisors is an integer number (38556000).

Almost surely, 2^1685010264 is an apocalyptic number.

1685010264 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 1685010264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467584000).

1685010264 is an abundant number, since it is smaller than the sum of its proper divisors (3250157736).

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

1685010264 is a wasteful number, since it uses less digits than its factorization.

1685010264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1685010264 is about 41048.8765254300. The cubic root of 1685010264 is about 1189.9649882597.

The spelling of 1685010264 in words is "one billion, six hundred eighty-five million, ten thousand, two hundred sixty-four".