1616544216 has 160 divisors (see below), whose sum is σ = 5353524000. Its totient is φ = 445906944.

The previous prime is 1616544211. The next prime is 1616544221. The reversal of 1616544216 is 6124456161.

It is an interprime number because it is at equal distance from previous prime (1616544211) and next prime (1616544221).

It is a super-2 number, since 2×1616544216² = 5226430404566109312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1616544211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 125400 + ... + 137688.

It is an arithmetic number, because the mean of its divisors is an integer number (33459525).

Almost surely, 2^1616544216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1616544216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676762000).

1616544216 is an abundant number, since it is smaller than the sum of its proper divisors (3736979784).

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

1616544216 is a wasteful number, since it uses less digits than its factorization.

1616544216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12343 (or 12330 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1616544216 is about 40206.2708541839. The cubic root of 1616544216 is about 1173.6245782550.

The spelling of 1616544216 in words is "one billion, six hundred sixteen million, five hundred forty-four thousand, two hundred sixteen".