1284188640 has 192 divisors, whose sum is σ = 4772597760. Its totient is φ = 284037120.

The previous prime is 1284188629. The next prime is 1284188657. The reversal of 1284188640 is 468814821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1284188592 and 1284188601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97996 + ... + 110324.

It is an arithmetic number, because the mean of its divisors is an integer number (24857280).

Almost surely, 2^1284188640 is an apocalyptic number.

1284188640 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 1284188640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386298880).

1284188640 is an abundant number, since it is smaller than the sum of its proper divisors (3488409120).

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

1284188640 is a wasteful number, since it uses less digits than its factorization.

1284188640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12385 (or 12377 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 1284188640 is about 35835.5778521848. The cubic root of 1284188640 is about 1086.9501027535.

The spelling of 1284188640 in words is "one billion, two hundred eighty-four million, one hundred eighty-eight thousand, six hundred forty".