1326782160 has 320 divisors, whose sum is σ = 5249664000. Its totient is φ = 304611840.

The previous prime is 1326782159. The next prime is 1326782203. The reversal of 1326782160 is 612876231.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 449971 + ... + 452909.

It is an arithmetic number, because the mean of its divisors is an integer number (16405200).

Almost surely, 2^1326782160 is an apocalyptic number.

1326782160 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 1326782160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624832000).

1326782160 is an abundant number, since it is smaller than the sum of its proper divisors (3922881840).

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

1326782160 is a wasteful number, since it uses less digits than its factorization.

1326782160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1326782160 is about 36425.0210706871. The cubic root of 1326782160 is about 1098.8368310742.

The spelling of 1326782160 in words is "one billion, three hundred twenty-six million, seven hundred eighty-two thousand, one hundred sixty".