1610120160 has 384 divisors, whose sum is σ = 6351851520. Its totient is φ = 377395200.

The previous prime is 1610120131. The next prime is 1610120177. The reversal of 1610120160 is 610210161.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 1472574 + ... + 1473666.

It is an arithmetic number, because the mean of its divisors is an integer number (16541280).

Almost surely, 2^1610120160 is an apocalyptic number.

1610120160 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 1610120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175925760).

1610120160 is an abundant number, since it is smaller than the sum of its proper divisors (4741731360).

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

1610120160 is a wasteful number, since it uses less digits than its factorization.

1610120160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1610120160 is about 40126.3025956791. The cubic root of 1610120160 is about 1172.0678749416.

Subtracting from 1610120160 its reverse (610210161), we obtain a palindrome (999909999).

The spelling of 1610120160 in words is "one billion, six hundred ten million, one hundred twenty thousand, one hundred sixty".