1610065072 has 80 divisors (see below), whose sum is σ = 3897464832. Its totient is φ = 625973760.

The previous prime is 1610065033. The next prime is 1610065157. The reversal of 1610065072 is 2705600161.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1610065072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 746748 + ... + 748900.

Almost surely, 2^1610065072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1610065072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948732416).

1610065072 is an abundant number, since it is smaller than the sum of its proper divisors (2287399760).

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

1610065072 is a wasteful number, since it uses less digits than its factorization.

1610065072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 1610065072 is about 40125.6161572629. The cubic root of 1610065072 is about 1172.0545079038.

The spelling of 1610065072 in words is "one billion, six hundred ten million, sixty-five thousand, seventy-two".