1610112000 has 352 divisors, whose sum is σ = 6131174400. Its totient is φ = 367411200.

The previous prime is 1610111989. The next prime is 1610112001. The reversal of 1610112000 is 2110161.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1610112001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2687701 + ... + 2688299.

Almost surely, 2^1610112000 is an apocalyptic number.

1610112000 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 1610112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065587200).

1610112000 is an abundant number, since it is smaller than the sum of its proper divisors (4521062400).

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

1610112000 is an equidigital number, since it uses as much as digits as its factorization.

1610112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1610112000 is about 40126.2009166081. The cubic root of 1610112000 is about 1172.0658949465.

Adding to 1610112000 its reverse (2110161), we get a palindrome (1612222161).

The spelling of 1610112000 in words is "one billion, six hundred ten million, one hundred twelve thousand".