1084129920 has 192 divisors, whose sum is σ = 3882846240. Its totient is φ = 289059840.

The previous prime is 1084129903. The next prime is 1084129951. The reversal of 1084129920 is 299214801.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152035 + ... + 159005.

Almost surely, 2^1084129920 is an apocalyptic number.

1084129920 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 1084129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941423120).

1084129920 is an abundant number, since it is smaller than the sum of its proper divisors (2798716320).

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

1084129920 is an frugal number, since it uses more digits than its factorization.

1084129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7005 (or 6981 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1084129920 is about 32926.1282266834. The cubic root of 1084129920 is about 1027.2916941467.

The spelling of 1084129920 in words is "one billion, eighty-four million, one hundred twenty-nine thousand, nine hundred twenty".