1327290048 has 504 divisors, whose sum is σ = 4806232704. Its totient is φ = 348364800.

The previous prime is 1327290047. The next prime is 1327290053. The reversal of 1327290048 is 8400927231.

1327290048 is a `hidden beast` number, since 1 + 327 + 290 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 = 1327289994 and 1327290021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327290047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32372908 + ... + 32372948.

It is an arithmetic number, because the mean of its divisors is an integer number (9536176).

Almost surely, 2^1327290048 is an apocalyptic number.

1327290048 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 1327290048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403116352).

1327290048 is an abundant number, since it is smaller than the sum of its proper divisors (3478942656).

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

1327290048 is a wasteful number, since it uses less digits than its factorization.

1327290048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

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

The square root of 1327290048 is about 36431.9920948608. The cubic root of 1327290048 is about 1098.9770236045.

The spelling of 1327290048 in words is "one billion, three hundred twenty-seven million, two hundred ninety thousand, forty-eight".