1290760020 has 288 divisors, whose sum is σ = 4672152576. Its totient is φ = 284774400.

The previous prime is 1290760007. The next prime is 1290760021. The reversal of 1290760020 is 200670921.

It is a super-2 number, since 2×1290760020² = 3332122858460800800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290760021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1042842 + ... + 1044078.

It is an arithmetic number, because the mean of its divisors is an integer number (16222752).

Almost surely, 2^1290760020 is an apocalyptic number.

1290760020 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 1290760020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336076288).

1290760020 is an abundant number, since it is smaller than the sum of its proper divisors (3381392556).

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

1290760020 is a wasteful number, since it uses less digits than its factorization.

1290760020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1290760020 is about 35927.1487875117. The cubic root of 1290760020 is about 1088.8009765127.

It can be divided in two parts, 12907 and 60020, that added together give a palindrome (72927).

The spelling of 1290760020 in words is "one billion, two hundred ninety million, seven hundred sixty thousand, twenty".