1284549120 has 240 divisors, whose sum is σ = 4493998080. Its totient is φ = 339075072.

The previous prime is 1284549073. The next prime is 1284549143. The reversal of 1284549120 is 219454821.

1284549120 is a `hidden beast` number, since 12 + 84 + 549 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2925861 + ... + 2926299.

It is an arithmetic number, because the mean of its divisors is an integer number (18724992).

Almost surely, 2^1284549120 is an apocalyptic number.

1284549120 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 1284549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246999040).

1284549120 is an abundant number, since it is smaller than the sum of its proper divisors (3209448960).

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

1284549120 is a wasteful number, since it uses less digits than its factorization.

1284549120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1284549120 is about 35840.6071377146. The cubic root of 1284549120 is about 1087.0517978638.

The spelling of 1284549120 in words is "one billion, two hundred eighty-four million, five hundred forty-nine thousand, one hundred twenty".