1120089600 has 480 divisors, whose sum is σ = 4708746240. Its totient is φ = 255467520.

The previous prime is 1120089583. The next prime is 1120089611. The reversal of 1120089600 is 69800211.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2418969 + ... + 2419431.

It is an arithmetic number, because the mean of its divisors is an integer number (9809888).

Almost surely, 2^1120089600 is an apocalyptic number.

1120089600 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 1120089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354373120).

1120089600 is an abundant number, since it is smaller than the sum of its proper divisors (3588656640).

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

1120089600 is an equidigital number, since it uses as much as digits as its factorization.

1120089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 480 counting only the distinct ones).

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

The square root of 1120089600 is about 33467.7396906334. The cubic root of 1120089600 is about 1038.5265129336.

Adding to 1120089600 its reverse (69800211), we get a palindrome (1189889811).

The spelling of 1120089600 in words is "one billion, one hundred twenty million, eighty-nine thousand, six hundred".