1116529920 has 540 divisors, whose sum is σ = 4440702420. Its totient is φ = 267632640.

The previous prime is 1116529919. The next prime is 1116529937. The reversal of 1116529920 is 299256111.

It can be written as a sum of positive squares in 2 ways, for example, as 303595776 + 812934144 = 17424^2 + 28512^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12545236 + ... + 12545324.

It is an arithmetic number, because the mean of its divisors is an integer number (8223523).

It is a vampire number, since it can be written as 11520 ⋅ 96921 (with its own digits).

Almost surely, 2^1116529920 is an apocalyptic number.

1116529920 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 1116529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220351210).

1116529920 is an abundant number, since it is smaller than the sum of its proper divisors (3324172500).

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

1116529920 is an equidigital number, since it uses as much as digits as its factorization.

1116529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 1116529920 is about 33414.5166058107. The cubic root of 1116529920 is about 1037.4251887800.

The spelling of 1116529920 in words is "one billion, one hundred sixteen million, five hundred twenty-nine thousand, nine hundred twenty".