1290663360 has 336 divisors, whose sum is σ = 5148901056. Its totient is φ = 290635776.

The previous prime is 1290663349. The next prime is 1290663391. The reversal of 1290663360 is 633660921.

1290663360 is a `hidden beast` number, since 1 + 290 + 6 + 6 + 3 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1471242 + ... + 1472118.

Almost surely, 2^1290663360 is an apocalyptic number.

1290663360 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 1290663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574450528).

1290663360 is an abundant number, since it is smaller than the sum of its proper divisors (3858237696).

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

1290663360 is a wasteful number, since it uses less digits than its factorization.

1290663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 1290663360 is about 35925.8035400741. The cubic root of 1290663360 is about 1088.7737971435.

The spelling of 1290663360 in words is "one billion, two hundred ninety million, six hundred sixty-three thousand, three hundred sixty".