1616996100 has 72 divisors (see below), whose sum is σ = 4720010400. Its totient is φ = 427374080.

The previous prime is 1616996093. The next prime is 1616996107. The reversal of 1616996100 is 16996161.

It is an interprime number because it is at equal distance from previous prime (1616996093) and next prime (1616996107).

It is a super-2 number, since 2×1616996100² = 5229352774830420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1616996107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10051 + ... + 57749.

It is an arithmetic number, because the mean of its divisors is an integer number (65555700).

Almost surely, 2^1616996100 is an apocalyptic number.

1616996100 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 1616996100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360005200).

1616996100 is an abundant number, since it is smaller than the sum of its proper divisors (3103014300).

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

1616996100 is a wasteful number, since it uses less digits than its factorization.

1616996100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47829 (or 47822 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The square root of 1616996100 is about 40211.8900326757. The cubic root of 1616996100 is about 1173.7339252506.

The spelling of 1616996100 in words is "one billion, six hundred sixteen million, nine hundred ninety-six thousand, one hundred".