1365212880 has 330 divisors, whose sum is σ = 5057695446. Its totient is φ = 342641664.

The previous prime is 1365212873. The next prime is 1365212887. The reversal of 1365212880 is 882125631.

It is a happy number.

1365212880 is a `hidden beast` number, since 1 + 36 + 521 + 28 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1365212873) and next prime (1365212887).

It can be written as a sum of positive squares in 3 ways, for example, as 457275456 + 907937424 = 21384^2 + 30132^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1365212887) by changing a digit.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 80306632 + ... + 80306648.

Almost surely, 2^1365212880 is an apocalyptic number.

1365212880 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 1365212880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528847723).

1365212880 is an abundant number, since it is smaller than the sum of its proper divisors (3692482566).

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

1365212880 is an frugal number, since it uses more digits than its factorization.

1365212880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1365212880 is about 36948.7872602065. The cubic root of 1365212880 is about 1109.3454139091.

The spelling of 1365212880 in words is "one billion, three hundred sixty-five million, two hundred twelve thousand, eight hundred eighty".