1200658160 has 80 divisors (see below), whose sum is σ = 3014807040. Its totient is φ = 442060800.

The previous prime is 1200658159. The next prime is 1200658171. The reversal of 1200658160 is 618560021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415601 + ... + 418479.

It is an arithmetic number, because the mean of its divisors is an integer number (37685088).

Almost surely, 2^1200658160 is an apocalyptic number.

1200658160 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 1200658160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507403520).

1200658160 is an abundant number, since it is smaller than the sum of its proper divisors (1814148880).

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

1200658160 is a wasteful number, since it uses less digits than its factorization.

1200658160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3306 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 1200658160 is about 34650.5145704938. The cubic root of 1200658160 is about 1062.8528112762.

The spelling of 1200658160 in words is "one billion, two hundred million, six hundred fifty-eight thousand, one hundred sixty".