1290332160 has 384 divisors, whose sum is σ = 4953312000. Its totient is φ = 316735488.

The previous prime is 1290332143. The next prime is 1290332213. The reversal of 1290332160 is 612330921.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 3594061 + ... + 3594419.

It is an arithmetic number, because the mean of its divisors is an integer number (12899250).

Almost surely, 2^1290332160 is an apocalyptic number.

1290332160 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 1290332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476656000).

1290332160 is an abundant number, since it is smaller than the sum of its proper divisors (3662979840).

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

1290332160 is a wasteful number, since it uses less digits than its factorization.

1290332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1290332160 is about 35921.1937440837. The cubic root of 1290332160 is about 1088.6806582863.

The spelling of 1290332160 in words is "one billion, two hundred ninety million, three hundred thirty-two thousand, one hundred sixty".