1326544128 has 720 divisors, whose sum is σ = 5263054720. Its totient is φ = 322486272.

The previous prime is 1326544127. The next prime is 1326544151. The reversal of 1326544128 is 8214456231.

It is a happy number.

1326544128 is a `hidden beast` number, since 132 + 65 + 441 + 28 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1326544092 and 1326544101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1326544127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35852526 + ... + 35852562.

Almost surely, 2^1326544128 is an apocalyptic number.

1326544128 is a gapful number since it is divisible by the number (18) 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 1326544128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631527360).

1326544128 is an abundant number, since it is smaller than the sum of its proper divisors (3936510592).

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

1326544128 is a wasteful number, since it uses less digits than its factorization.

1326544128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 81 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 1326544128 is about 36421.7534997973. The cubic root of 1326544128 is about 1098.7711146917.

The spelling of 1326544128 in words is "one billion, three hundred twenty-six million, five hundred forty-four thousand, one hundred twenty-eight".