1971164160 has 660 divisors, whose sum is σ = 8301477492. Its totient is φ = 445906944.

The previous prime is 1971164119. The next prime is 1971164183. The reversal of 1971164160 is 614611791.

1971164160 is a `hidden beast` number, since 1 + 9 + 7 + 1 + 1 + 641 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 796594176 + 1174569984 = 28224^2 + 34272^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20321232 + ... + 20321328.

Almost surely, 2^1971164160 is an apocalyptic number.

1971164160 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 1971164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150738746).

1971164160 is an abundant number, since it is smaller than the sum of its proper divisors (6330313332).

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

1971164160 is an equidigital number, since it uses as much as digits as its factorization.

1971164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1971164160 is about 44397.7945398192. The cubic root of 1971164160 is about 1253.8365666909.

The spelling of 1971164160 in words is "one billion, nine hundred seventy-one million, one hundred sixty-four thousand, one hundred sixty".