1608100 has 36 divisors (see below), whose sum is σ = 3761044. Its totient is φ = 593280.

The previous prime is 1608083. The next prime is 1608107. The reversal of 1608100 is 18061.

1608100 = T₁₂₇ + T₁₂₈ + ... + T₂₂₆.

It can be written as a sum of positive squares in 6 ways, for example, as 65536 + 1542564 = 256^2 + 1242^2 .

It is a super-2 number, since 2×1608100² = 5171971220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1608107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 682 + ... + 1918.

2^1608100 is an apocalyptic number.

1608100 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 1608100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880522).

1608100 is an abundant number, since it is smaller than the sum of its proper divisors (2152944).

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

1608100 is a wasteful number, since it uses less digits than its factorization.

1608100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1608100 is about 1268.1088281374. The cubic root of 1608100 is about 117.1577485955.

The spelling of 1608100 in words is "one million, six hundred eight thousand, one hundred".