1610565120 has 280 divisors, whose sum is σ = 5796432576. Its totient is φ = 428986368.

The previous prime is 1610565107. The next prime is 1610565149. The reversal of 1610565120 is 215650161.

1610565120 = T₄₀₉ + T₄₁₀ + ... + T₂₁₃₄.

It is a happy number.

1610565120 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 5 + 651 + 2 + 0 = 666.

It is a super-2 number, since 2×1610565120² = 5187840011521228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1865809 + ... + 1866671.

Almost surely, 2^1610565120 is an apocalyptic number.

1610565120 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 1610565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898216288).

1610565120 is an abundant number, since it is smaller than the sum of its proper divisors (4185867456).

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

1610565120 is an frugal number, since it uses more digits than its factorization.

1610565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1610565120 is about 40131.8467055779. The cubic root of 1610565120 is about 1172.1758327824.

It can be divided in two parts, 161056 and 5120, that added together give a triangular number (166176 = T₅₇₆).

The spelling of 1610565120 in words is "one billion, six hundred ten million, five hundred sixty-five thousand, one hundred twenty".