1060829280 has 576 divisors, whose sum is σ = 4528742400. Its totient is φ = 220631040.

The previous prime is 1060829267. The next prime is 1060829317. The reversal of 1060829280 is 829280601.

1060829280 is a `hidden beast` number, since 1 + 0 + 608 + 29 + 28 + 0 = 666.

It is a super-2 number, since 2×1060829280² = 2250717522610636800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5553985 + ... + 5554175.

It is an arithmetic number, because the mean of its divisors is an integer number (7862400).

Almost surely, 2^1060829280 is an apocalyptic number.

1060829280 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 1060829280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264371200).

1060829280 is an abundant number, since it is smaller than the sum of its proper divisors (3467913120).

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

1060829280 is a wasteful number, since it uses less digits than its factorization.

1060829280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1060829280 is about 32570.3742686510. The cubic root of 1060829280 is about 1019.8786476160.

The spelling of 1060829280 in words is "one billion, sixty million, eight hundred twenty-nine thousand, two hundred eighty".