1285742160 has 360 divisors, whose sum is σ = 4794797280. Its totient is φ = 319313664.

The previous prime is 1285742153. The next prime is 1285742177. The reversal of 1285742160 is 612475821.

1285742160 is a `hidden beast` number, since 1 + 2 + 8 + 574 + 21 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 21792211 + ... + 21792269.

Almost surely, 2^1285742160 is an apocalyptic number.

1285742160 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 1285742160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397398640).

1285742160 is an abundant number, since it is smaller than the sum of its proper divisors (3509055120).

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

1285742160 is an equidigital number, since it uses as much as digits as its factorization.

1285742160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1285742160 is about 35857.2469662689. The cubic root of 1285742160 is about 1087.3882310816.

The spelling of 1285742160 in words is "one billion, two hundred eighty-five million, seven hundred forty-two thousand, one hundred sixty".