1348680960 has 432 divisors, whose sum is σ = 5280387840. Its totient is φ = 314818560.

The previous prime is 1348680943. The next prime is 1348680961. The reversal of 1348680960 is 690868431.

1348680960 is a `hidden beast` number, since 1 + 3 + 486 + 80 + 96 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348680961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3674697 + ... + 3675063.

It is an arithmetic number, because the mean of its divisors is an integer number (12223120).

Almost surely, 2^1348680960 is an apocalyptic number.

1348680960 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 1348680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640193920).

1348680960 is an abundant number, since it is smaller than the sum of its proper divisors (3931706880).

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

1348680960 is a wasteful number, since it uses less digits than its factorization.

1348680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1348680960 is about 36724.3918942166. The cubic root of 1348680960 is about 1104.8493778577.

The spelling of 1348680960 in words is "one billion, three hundred forty-eight million, six hundred eighty thousand, nine hundred sixty".