1290086952 has 192 divisors, whose sum is σ = 4108008960. Its totient is φ = 327974400.

The previous prime is 1290086929. The next prime is 1290086957. The reversal of 1290086952 is 2596800921.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1290086957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9847927 + ... + 9848057.

It is an arithmetic number, because the mean of its divisors is an integer number (21395880).

Almost surely, 2^1290086952 is an apocalyptic number.

1290086952 is a gapful number since it is divisible by the number (12) 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 1290086952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054004480).

1290086952 is an abundant number, since it is smaller than the sum of its proper divisors (2817922008).

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

1290086952 is a wasteful number, since it uses less digits than its factorization.

1290086952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 1290086952 is about 35917.7804436744. The cubic root of 1290086952 is about 1088.6116915177.

It can be divided in two parts, 12900869 and 52, that added together give a palindrome (12900921).

The spelling of 1290086952 in words is "one billion, two hundred ninety million, eighty-six thousand, nine hundred fifty-two".