1685607120 has 120 divisors (see below), whose sum is σ = 5993864136. Its totient is φ = 423051264.

The previous prime is 1685607089. The next prime is 1685607127. The reversal of 1685607120 is 217065861.

1685607120 is a `hidden beast` number, since 1 + 6 + 8 + 560 + 71 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 120297024 + 1565310096 = 10968^2 + 39564^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1685607127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 56617 + ... + 81096.

Almost surely, 2^1685607120 is an apocalyptic number.

1685607120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1685607120 is an abundant number, since it is smaller than the sum of its proper divisors (4308257016).

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

1685607120 is a wasteful number, since it uses less digits than its factorization.

1685607120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137749 (or 137740 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1685607120 is about 41056.1459467398. The cubic root of 1685607120 is about 1190.1054728443.

The spelling of 1685607120 in words is "one billion, six hundred eighty-five million, six hundred seven thousand, one hundred twenty".