1685552640 has 320 divisors, whose sum is σ = 5679761472. Its totient is φ = 425984000.

The previous prime is 1685552633. The next prime is 1685552689. The reversal of 1685552640 is 462555861.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 1685552592 and 1685552601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16688590 + ... + 16688690.

Almost surely, 2^1685552640 is an apocalyptic number.

1685552640 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 1685552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839880736).

1685552640 is an abundant number, since it is smaller than the sum of its proper divisors (3994208832).

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

1685552640 is a wasteful number, since it uses less digits than its factorization.

1685552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 1685552640 is about 41055.4824597154. The cubic root of 1685552640 is about 1190.0926510260.

The spelling of 1685552640 in words is "one billion, six hundred eighty-five million, five hundred fifty-two thousand, six hundred forty".