1348894560 has 192 divisors, whose sum is σ = 4618772928. Its totient is φ = 328925184.

The previous prime is 1348894553. The next prime is 1348894583. The reversal of 1348894560 is 654988431.

1348894560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704164 + ... + 706076.

It is an arithmetic number, because the mean of its divisors is an integer number (24056109).

Almost surely, 2^1348894560 is an apocalyptic number.

1348894560 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 1348894560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309386464).

1348894560 is an abundant number, since it is smaller than the sum of its proper divisors (3269878368).

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

1348894560 is a wasteful number, since it uses less digits than its factorization.

1348894560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 1348894560 is about 36727.2999279827. The cubic root of 1348894560 is about 1104.9077023432.

The spelling of 1348894560 in words is "one billion, three hundred forty-eight million, eight hundred ninety-four thousand, five hundred sixty".