1610410032 has 160 divisors (see below), whose sum is σ = 5763202560. Its totient is φ = 418279680.

The previous prime is 1610410019. The next prime is 1610410063. The reversal of 1610410032 is 2300140161.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1610409987 and 1610410014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9058 + ... + 57470.

It is an arithmetic number, because the mean of its divisors is an integer number (36020016).

Almost surely, 2^1610410032 is an apocalyptic number.

1610410032 is a gapful number since it is divisible by the number (12) 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 1610410032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881601280).

1610410032 is an abundant number, since it is smaller than the sum of its proper divisors (4152792528).

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

1610410032 is a wasteful number, since it uses less digits than its factorization.

1610410032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48448 (or 48436 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1610410032 is about 40129.9144280174. The cubic root of 1610410032 is about 1172.1382070160.

Adding to 1610410032 its reverse (2300140161), we get a palindrome (3910550193).

The spelling of 1610410032 in words is "one billion, six hundred ten million, four hundred ten thousand, thirty-two".