1610434320 has 160 divisors (see below), whose sum is σ = 5562501120. Its totient is φ = 382072320.

The previous prime is 1610434313. The next prime is 1610434321. The reversal of 1610434320 is 234340161.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1610434321) 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, 117591 + ... + 130569.

It is an arithmetic number, because the mean of its divisors is an integer number (34765632).

Almost surely, 2^1610434320 is an apocalyptic number.

1610434320 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 1610434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781250560).

1610434320 is an abundant number, since it is smaller than the sum of its proper divisors (3952066800).

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

1610434320 is a wasteful number, since it uses less digits than its factorization.

1610434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13053 (or 13047 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1610434320 is about 40130.2170440181. The cubic root of 1610434320 is about 1172.1440996663.

Adding to 1610434320 its reverse (234340161), we get a palindrome (1844774481).

The spelling of 1610434320 in words is "one billion, six hundred ten million, four hundred thirty-four thousand, three hundred twenty".