1285007360 has 288 divisors, whose sum is σ = 3882158280. Its totient is φ = 404619264.

The previous prime is 1285007359. The next prime is 1285007377. The reversal of 1285007360 is 637005821.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1144062976 + 140944384 = 33824^2 + 11872^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6522782 + ... + 6522978.

Almost surely, 2^1285007360 is an apocalyptic number.

1285007360 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 1285007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941079140).

1285007360 is an abundant number, since it is smaller than the sum of its proper divisors (2597150920).

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

1285007360 is a wasteful number, since it uses less digits than its factorization.

1285007360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 1285007360 is about 35846.9993165397. Note that the first 3 decimals coincide. The cubic root of 1285007360 is about 1087.1810446132.

The spelling of 1285007360 in words is "one billion, two hundred eighty-five million, seven thousand, three hundred sixty".