1120580406 has 96 divisors (see below), whose sum is σ = 2760645888. Its totient is φ = 337854240.

The previous prime is 1120580369. The next prime is 1120580407. The reversal of 1120580406 is 6040850211.

It is a super-2 number, since 2×1120580406² = 2511400892622249672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1120580406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120580407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1405600 + ... + 1406396.

It is an arithmetic number, because the mean of its divisors is an integer number (28756728).

Almost surely, 2^1120580406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120580406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380322944).

1120580406 is an abundant number, since it is smaller than the sum of its proper divisors (1640065482).

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

1120580406 is a wasteful number, since it uses less digits than its factorization.

1120580406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1120580406 is about 33475.0714114250. The cubic root of 1120580406 is about 1038.6781795539.

The spelling of 1120580406 in words is "one billion, one hundred twenty million, five hundred eighty thousand, four hundred six".