1284971520 has 704 divisors, whose sum is σ = 5376568320. Its totient is φ = 254803968.

The previous prime is 1284971491. The next prime is 1284971549. The reversal of 1284971520 is 251794821.

It is an interprime number because it is at equal distance from previous prime (1284971491) and next prime (1284971549).

It is a super-2 number, since 2×1284971520² = 3302303614422220800, which contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 34728942 + ... + 34728978.

Almost surely, 2^1284971520 is an apocalyptic number.

1284971520 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 1284971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688284160).

1284971520 is an abundant number, since it is smaller than the sum of its proper divisors (4091596800).

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

1284971520 is a wasteful number, since it uses less digits than its factorization.

1284971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 1284971520 is about 35846.4994106817. The cubic root of 1284971520 is about 1087.1709370366.

The spelling of 1284971520 in words is "one billion, two hundred eighty-four million, nine hundred seventy-one thousand, five hundred twenty".