1348075520 has 216 divisors, whose sum is σ = 3765422052. Its totient is φ = 461373440.

The previous prime is 1348075481. The next prime is 1348075523. The reversal of 1348075520 is 255708431.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1340145664 + 7929856 = 36608^2 + 2816^2 .

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (1348075523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79298552 + ... + 79298568.

Almost surely, 2^1348075520 is an apocalyptic number.

1348075520 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 1348075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882711026).

1348075520 is an abundant number, since it is smaller than the sum of its proper divisors (2417346532).

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

1348075520 is an frugal number, since it uses more digits than its factorization.

1348075520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 1348075520 is about 36716.1479461013. The cubic root of 1348075520 is about 1104.6840261430.

The spelling of 1348075520 in words is "one billion, three hundred forty-eight million, seventy-five thousand, five hundred twenty".