1327763160 has 192 divisors, whose sum is σ = 4457980800. Its totient is φ = 342540288.

The previous prime is 1327763141. The next prime is 1327763237. The reversal of 1327763160 is 613677231.

1327763160 is a `hidden beast` number, since 13 + 2 + 7 + 7 + 631 + 6 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1640836 + ... + 1641644.

It is an arithmetic number, because the mean of its divisors is an integer number (23218650).

Almost surely, 2^1327763160 is an apocalyptic number.

1327763160 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 1327763160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228990400).

1327763160 is an abundant number, since it is smaller than the sum of its proper divisors (3130217640).

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

1327763160 is a wasteful number, since it uses less digits than its factorization.

1327763160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 1327763160 is about 36438.4846007624. The cubic root of 1327763160 is about 1099.1075847312.

The spelling of 1327763160 in words is "one billion, three hundred twenty-seven million, seven hundred sixty-three thousand, one hundred sixty".