1112889600 has 243 divisors, whose sum is σ = 4007662113. Its totient is φ = 294635520.

The previous prime is 1112889563. The next prime is 1112889607. The reversal of 1112889600 is 69882111.

The square root of 1112889600 is 33360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 400640256 + 712249344 = 20016^2 + 26688^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1112889607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8006331 + ... + 8006469.

Almost surely, 2^1112889600 is an apocalyptic number.

1112889600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1112889600 is the 33360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112889600

1112889600 is an abundant number, since it is smaller than the sum of its proper divisors (2894772513).

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

1112889600 is an equidigital number, since it uses as much as digits as its factorization.

1112889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The cubic root of 1112889600 is about 1036.2964919145.

Multiplying 1112889600 by its sum of digits (36), we get a square (40064025600 = 200160²).

1112889600 divided by its sum of digits (36) gives a square (30913600 = 5560²).

The spelling of 1112889600 in words is "one billion, one hundred twelve million, eight hundred eighty-nine thousand, six hundred".