1080129600 has 336 divisors, whose sum is σ = 4297314240. Its totient is φ = 261734400.

The previous prime is 1080129581. The next prime is 1080129601. The reversal of 1080129600 is 69210801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1080129601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 474064 + ... + 476336.

Almost surely, 2^1080129600 is an apocalyptic number.

1080129600 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 1080129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148657120).

1080129600 is an abundant number, since it is smaller than the sum of its proper divisors (3217184640).

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

1080129600 is a wasteful number, since it uses less digits than its factorization.

1080129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1080129600 is about 32865.3251923665. The cubic root of 1080129600 is about 1026.0266057873.

It can be divided in two parts, 10801 and 29600, that added together give a square (40401 = 201²).

The spelling of 1080129600 in words is "one billion, eighty million, one hundred twenty-nine thousand, six hundred".