1290642216 has 64 divisors (see below), whose sum is σ = 3344760000. Its totient is φ = 414521856.

The previous prime is 1290642181. The next prime is 1290642229. The reversal of 1290642216 is 6122460921.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394395 + ... + 397653.

It is an arithmetic number, because the mean of its divisors is an integer number (52261875).

Almost surely, 2^1290642216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1290642216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672380000).

1290642216 is an abundant number, since it is smaller than the sum of its proper divisors (2054117784).

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

1290642216 is a wasteful number, since it uses less digits than its factorization.

1290642216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1290642216 is about 35925.5092657014. The cubic root of 1290642216 is about 1088.7678515810.

The spelling of 1290642216 in words is "one billion, two hundred ninety million, six hundred forty-two thousand, two hundred sixteen".