1290284640 has 120 divisors (see below), whose sum is σ = 4553675280. Its totient is φ = 344072448.

The previous prime is 1290284621. The next prime is 1290284657. The reversal of 1290284640 is 464820921.

1290284640 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 2 + 8 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 1290284595 and 1290284604.

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 19 ways as a sum of consecutive naturals, for example, 36820 + ... + 62739.

It is an arithmetic number, because the mean of its divisors is an integer number (37947294).

Almost surely, 2^1290284640 is an apocalyptic number.

1290284640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1290284640 is an abundant number, since it is smaller than the sum of its proper divisors (3263390640).

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

1290284640 is an equidigital number, since it uses as much as digits as its factorization.

1290284640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99586 (or 99569 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1290284640 is about 35920.5322900427. The cubic root of 1290284640 is about 1088.6672935777.

The spelling of 1290284640 in words is "one billion, two hundred ninety million, two hundred eighty-four thousand, six hundred forty".