1610610080 has 48 divisors (see below), whose sum is σ = 3810943080. Its totient is φ = 643249152.

The previous prime is 1610610077. The next prime is 1610610083. The reversal of 1610610080 is 800160161.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1610610077) and next prime (1610610083).

It can be written as a sum of positive squares in 4 ways, for example, as 1511965456 + 98644624 = 38884^2 + 9932^2 .

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (1610610083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100886 + ... + 115754.

Almost surely, 2^1610610080 is an apocalyptic number.

1610610080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1610610080 is an abundant number, since it is smaller than the sum of its proper divisors (2200333000).

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

1610610080 is a wasteful number, since it uses less digits than its factorization.

1610610080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15561 (or 15553 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 1610610080 is about 40132.4068553083. The cubic root of 1610610080 is about 1172.1867400378.

The spelling of 1610610080 in words is "one billion, six hundred ten million, six hundred ten thousand, eighty".