1346120160 has 576 divisors, whose sum is σ = 5551628544. Its totient is φ = 273208320.

The previous prime is 1346120141. The next prime is 1346120183. The reversal of 1346120160 is 610216431.

It is a super-3 number, since 3×1346120160³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1346120160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31305099 + ... + 31305141.

It is an arithmetic number, because the mean of its divisors is an integer number (9638244).

Almost surely, 2^1346120160 is an apocalyptic number.

1346120160 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 1346120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775814272).

1346120160 is an abundant number, since it is smaller than the sum of its proper divisors (4205508384).

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

1346120160 is a wasteful number, since it uses less digits than its factorization.

1346120160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1346120160 is about 36689.5102174995. The cubic root of 1346120160 is about 1104.1496594002.

Adding to 1346120160 its reverse (610216431), we get a palindrome (1956336591).

The spelling of 1346120160 in words is "one billion, three hundred forty-six million, one hundred twenty thousand, one hundred sixty".