1078129360 has 180 divisors, whose sum is σ = 3206490084. Its totient is φ = 335892480.

The previous prime is 1078129291. The next prime is 1078129373. The reversal of 1078129360 is 639218701.

It can be written as a sum of positive squares in 2 ways, for example, as 701614144 + 376515216 = 26488^2 + 19404^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 473184 + ... + 475456.

Almost surely, 2^1078129360 is an apocalyptic number.

1078129360 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 1078129360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603245042).

1078129360 is an abundant number, since it is smaller than the sum of its proper divisors (2128360724).

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

1078129360 is a wasteful number, since it uses less digits than its factorization.

1078129360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 1078129360 is about 32834.8802342874. The cubic root of 1078129360 is about 1025.3928646713.

The spelling of 1078129360 in words is "one billion, seventy-eight million, one hundred twenty-nine thousand, three hundred sixty".