1171616160 has 384 divisors, whose sum is σ = 4404637440. Its totient is φ = 259584000.

The previous prime is 1171616101. The next prime is 1171616161. The reversal of 1171616160 is 616161711.

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

It is not an unprimeable number, because it can be changed into a prime (1171616161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11600110 + ... + 11600210.

It is an arithmetic number, because the mean of its divisors is an integer number (11470410).

Almost surely, 2^1171616160 is an apocalyptic number.

1171616160 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 1171616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202318720).

1171616160 is an abundant number, since it is smaller than the sum of its proper divisors (3233021280).

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

1171616160 is a wasteful number, since it uses less digits than its factorization.

1171616160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 30.

The square root of 1171616160 is about 34228.8790351072. The cubic root of 1171616160 is about 1054.2132031164.

Adding to 1171616160 its reverse (616161711), we get a palindrome (1787777871).

It can be divided in two parts, 117161 and 6160, that added together give a palindrome (123321).

The spelling of 1171616160 in words is "one billion, one hundred seventy-one million, six hundred sixteen thousand, one hundred sixty".