1201685760 has 576 divisors, whose sum is σ = 4856544000. Its totient is φ = 278691840.

The previous prime is 1201685753. The next prime is 1201685813. The reversal of 1201685760 is 675861021.

1201685760 is a `hidden beast` number, since 1 + 20 + 1 + 68 + 576 + 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11024586 + ... + 11024694.

It is an arithmetic number, because the mean of its divisors is an integer number (8431500).

Almost surely, 2^1201685760 is an apocalyptic number.

1201685760 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 1201685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428272000).

1201685760 is an abundant number, since it is smaller than the sum of its proper divisors (3654858240).

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

1201685760 is a wasteful number, since it uses less digits than its factorization.

1201685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

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

The square root of 1201685760 is about 34665.3394617736. The cubic root of 1201685760 is about 1063.1559439372.

The spelling of 1201685760 in words is "one billion, two hundred one million, six hundred eighty-five thousand, seven hundred sixty".