1283372160 has 512 divisors, whose sum is σ = 5107898880. Its totient is φ = 267386880.

The previous prime is 1283372149. The next prime is 1283372171. The reversal of 1283372160 is 612733821.

It is an interprime number because it is at equal distance from previous prime (1283372149) and next prime (1283372171).

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, 9367612 + ... + 9367748.

It is an arithmetic number, because the mean of its divisors is an integer number (9976365).

Almost surely, 2^1283372160 is an apocalyptic number.

1283372160 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 1283372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553949440).

1283372160 is an abundant number, since it is smaller than the sum of its proper divisors (3824526720).

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

1283372160 is a wasteful number, since it uses less digits than its factorization.

1283372160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1283372160 is about 35824.1840102465. The cubic root of 1283372160 is about 1086.7196949712.

The spelling of 1283372160 in words is "one billion, two hundred eighty-three million, three hundred seventy-two thousand, one hundred sixty".