1141660160 has 160 divisors (see below), whose sum is σ = 2980858320. Its totient is φ = 417595392.

The previous prime is 1141660159. The next prime is 1141660171. The reversal of 1141660160 is 610661411.

It can be written as a sum of positive squares in 8 ways, for example, as 682672384 + 458987776 = 26128^2 + 21424^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1609886 + ... + 1610594.

Almost surely, 2^1141660160 is an apocalyptic number.

1141660160 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 1141660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490429160).

1141660160 is an abundant number, since it is smaller than the sum of its proper divisors (1839198160).

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

1141660160 is an equidigital number, since it uses as much as digits as its factorization.

1141660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 1141660160 is about 33788.4619359923. The cubic root of 1141660160 is about 1045.1507791258.

It can be divided in two parts, 114 and 1660160, that multiplied together give a triangular number (189258240 = T₁₉₄₅₅).

The spelling of 1141660160 in words is "one billion, one hundred forty-one million, six hundred sixty thousand, one hundred sixty".