1161664140 has 192 divisors, whose sum is σ = 4032645120. Its totient is φ = 243302400.

The previous prime is 1161664129. The next prime is 1161664159. The reversal of 1161664140 is 414661611.

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 = 1161664098 and 1161664107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 823756 + ... + 825164.

It is an arithmetic number, because the mean of its divisors is an integer number (21003360).

Almost surely, 2^1161664140 is an apocalyptic number.

1161664140 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 1161664140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016322560).

1161664140 is an abundant number, since it is smaller than the sum of its proper divisors (2870980980).

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

1161664140 is a wasteful number, since it uses less digits than its factorization.

1161664140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1161664140 is about 34083.1943925448. The cubic root of 1161664140 is about 1051.2197887675.

The spelling of 1161664140 in words is "one billion, one hundred sixty-one million, six hundred sixty-four thousand, one hundred forty".