1610416900 has 27 divisors (see below), whose sum is σ = 3495475711. Its totient is φ = 644006240.

The previous prime is 1610416889. The next prime is 1610416909. The reversal of 1610416900 is 96140161.

The square root of 1610416900 is 40130.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 83795716 + 1526621184 = 9154^2 + 39072^2 .

It is a super-2 number, since 2×1610416900² = 5186885183611220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1610416909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 399294 + ... + 403306.

Almost surely, 2^1610416900 is an apocalyptic number.

1610416900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1610416900 is the 40130-th square number.

It is an amenable number.

1610416900 is an abundant number, since it is smaller than the sum of its proper divisors (1885058811).

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

1610416900 is an frugal number, since it uses more digits than its factorization.

1610416900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8040 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The cubic root of 1610416900 is about 1172.1398733067.

Multiplying 1610416900 by its product of nonzero digits (1296), we get a square (2087100302400 = 1444680²).

The spelling of 1610416900 in words is "one billion, six hundred ten million, four hundred sixteen thousand, nine hundred".