1161225840 has 160 divisors (see below), whose sum is σ = 3777901056. Its totient is φ = 294497280.

The previous prime is 1161225799. The next prime is 1161225853. The reversal of 1161225840 is 485221611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1161225798 and 1161225807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1164222 + ... + 1165218.

Almost surely, 2^1161225840 is an apocalyptic number.

1161225840 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 1161225840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888950528).

1161225840 is an abundant number, since it is smaller than the sum of its proper divisors (2616675216).

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

1161225840 is a wasteful number, since it uses less digits than its factorization.

1161225840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1161225840 is about 34076.7639308664. The cubic root of 1161225840 is about 1051.0875624848.

The spelling of 1161225840 in words is "one billion, one hundred sixty-one million, two hundred twenty-five thousand, eight hundred forty".