1610957160 has 320 divisors, whose sum is σ = 5734586880. Its totient is φ = 404974080.

The previous prime is 1610957149. The next prime is 1610957167. The reversal of 1610957160 is 617590161.

It is a happy number.

1610957160 is a `hidden beast` number, since 16 + 10 + 9 + 571 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1610957167) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4318734 + ... + 4319106.

It is an arithmetic number, because the mean of its divisors is an integer number (17920584).

Almost surely, 2^1610957160 is an apocalyptic number.

1610957160 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 1610957160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867293440).

1610957160 is an abundant number, since it is smaller than the sum of its proper divisors (4123629720).

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

1610957160 is a wasteful number, since it uses less digits than its factorization.

1610957160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1610957160 is about 40136.7308085748. The cubic root of 1610957160 is about 1172.2709345009.

The spelling of 1610957160 in words is "one billion, six hundred ten million, nine hundred fifty-seven thousand, one hundred sixty".