1120585140 has 72 divisors (see below), whose sum is σ = 3412176768. Its totient is φ = 297673920.

The previous prime is 1120585133. The next prime is 1120585157. The reversal of 1120585140 is 415850211.

It is a super-2 number, since 2×1120585140² = 2511422111977639200, which contains 22 as substring.

It is a congruent number.

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, 35505 + ... + 59175.

It is an arithmetic number, because the mean of its divisors is an integer number (47391344).

Almost surely, 2^1120585140 is an apocalyptic number.

1120585140 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 1120585140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706088384).

1120585140 is an abundant number, since it is smaller than the sum of its proper divisors (2291591628).

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

1120585140 is a wasteful number, since it uses less digits than its factorization.

1120585140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23949 (or 23944 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 1120585140 is about 33475.1421206841. The cubic root of 1120585140 is about 1038.6796422172.

The spelling of 1120585140 in words is "one billion, one hundred twenty million, five hundred eighty-five thousand, one hundred forty".