1290587904 has 180 divisors, whose sum is σ = 3890406520. Its totient is φ = 425502720.

The previous prime is 1290587897. The next prime is 1290587911. The reversal of 1290587904 is 4097850921.

It is an interprime number because it is at equal distance from previous prime (1290587897) and next prime (1290587911).

It is a super-2 number, since 2×1290587904² = 3331234275902226432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1290587904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2259939 + ... + 2260509.

Almost surely, 2^1290587904 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 1290587904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945203260).

1290587904 is an abundant number, since it is smaller than the sum of its proper divisors (2599818616).

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

1290587904 is an equidigital number, since it uses as much as digits as its factorization.

1290587904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1290587904 is about 35924.7533603225. The cubic root of 1290587904 is about 1088.7525790838.

The spelling of 1290587904 in words is "one billion, two hundred ninety million, five hundred eighty-seven thousand, nine hundred four".