1290588416 has 144 divisors (see below), whose sum is σ = 2922952704. Its totient is φ = 564682752.

The previous prime is 1290588413. The next prime is 1290588419. The reversal of 1290588416 is 6148850921.

It is an interprime number because it is at equal distance from previous prime (1290588413) and next prime (1290588419).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290588413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5787281 + ... + 5787503.

Almost surely, 2^1290588416 is an apocalyptic number.

1290588416 is a gapful number since it is divisible by the number (16) 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 1290588416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461476352).

1290588416 is an abundant number, since it is smaller than the sum of its proper divisors (1632364288).

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

1290588416 is a wasteful number, since it uses less digits than its factorization.

1290588416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The square root of 1290588416 is about 35924.7604863275. The cubic root of 1290588416 is about 1088.7527230598.

The spelling of 1290588416 in words is "one billion, two hundred ninety million, five hundred eighty-eight thousand, four hundred sixteen".