1685946240 has 576 divisors, whose sum is σ = 6666332400. Its totient is φ = 391987200.

The previous prime is 1685946221. The next prime is 1685946341. The reversal of 1685946240 is 426495861.

1685946240 is a `hidden beast` number, since 16 + 8 + 5 + 9 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 28575331 + ... + 28575389.

Almost surely, 2^1685946240 is an apocalyptic number.

1685946240 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 1685946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333166200).

1685946240 is an abundant number, since it is smaller than the sum of its proper divisors (4980386160).

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

1685946240 is a wasteful number, since it uses less digits than its factorization.

1685946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1685946240 is about 41060.2756931806. The cubic root of 1685946240 is about 1190.1852782154.

The spelling of 1685946240 in words is "one billion, six hundred eighty-five million, nine hundred forty-six thousand, two hundred forty".