1314752160 has 192 divisors, whose sum is σ = 4311014400. Its totient is φ = 336445440.

The previous prime is 1314752143. The next prime is 1314752161. The reversal of 1314752160 is 612574131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1314752161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2216824 + ... + 2217416.

It is an arithmetic number, because the mean of its divisors is an integer number (22453200).

Almost surely, 2^1314752160 is an apocalyptic number.

1314752160 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 1314752160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155507200).

1314752160 is an abundant number, since it is smaller than the sum of its proper divisors (2996262240).

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

1314752160 is a wasteful number, since it uses less digits than its factorization.

1314752160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1314752160 is about 36259.5113039324. The cubic root of 1314752160 is about 1095.5056733257.

The spelling of 1314752160 in words is "one billion, three hundred fourteen million, seven hundred fifty-two thousand, one hundred sixty".