1292082560 has 64 divisors (see below), whose sum is σ = 3094247520. Its totient is φ = 515936256.

The previous prime is 1292082557. The next prime is 1292082563. The reversal of 1292082560 is 652802921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1292082557) and next prime (1292082563).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1292082560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1292082563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463892 + ... + 466668.

Almost surely, 2^1292082560 is an apocalyptic number.

1292082560 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 1292082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547123760).

1292082560 is an abundant number, since it is smaller than the sum of its proper divisors (1802164960).

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

1292082560 is an equidigital number, since it uses as much as digits as its factorization.

1292082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 1292082560 is about 35945.5499331976. The cubic root of 1292082560 is about 1089.1727190749.

The spelling of 1292082560 in words is "one billion, two hundred ninety-two million, eighty-two thousand, five hundred sixty".