1129616000 has 128 divisors (see below), whose sum is σ = 2974430160. Its totient is φ = 425164800.

The previous prime is 1129615979. The next prime is 1129616011. The reversal of 1129616000 is 6169211.

It can be written as a sum of positive squares in 8 ways, for example, as 118336 + 1129497664 = 344^2 + 33608^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269924 + ... + 274076.

Almost surely, 2^1129616000 is an apocalyptic number.

1129616000 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 1129616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487215080).

1129616000 is an abundant number, since it is smaller than the sum of its proper divisors (1844814160).

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

1129616000 is an equidigital number, since it uses as much as digits as its factorization.

1129616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4199 (or 4177 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 1129616000 is about 33609.7604870966. The cubic root of 1129616000 is about 1041.4624396067.

The spelling of 1129616000 in words is "one billion, one hundred twenty-nine million, six hundred sixteen thousand".