1616027616 has 288 divisors, whose sum is σ = 5659512768. Its totient is φ = 426885120.

The previous prime is 1616027597. The next prime is 1616027617. The reversal of 1616027616 is 6167206161.

1616027616 is a `hidden beast` number, since 1 + 6 + 16 + 0 + 27 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1616027616² = 5223090511349286912, 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 (1616027617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2090206 + ... + 2090978.

It is an arithmetic number, because the mean of its divisors is an integer number (19651086).

Almost surely, 2^1616027616 is an apocalyptic number.

1616027616 is a gapful number since it is divisible by the number (16) 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 1616027616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829756384).

1616027616 is an abundant number, since it is smaller than the sum of its proper divisors (4043485152).

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

1616027616 is a wasteful number, since it uses less digits than its factorization.

1616027616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1616027616 is about 40199.8459698542. The cubic root of 1616027616 is about 1173.4995462996.

The spelling of 1616027616 in words is "one billion, six hundred sixteen million, twenty-seven thousand, six hundred sixteen".