1616256180 has 432 divisors, whose sum is σ = 6462421056. Its totient is φ = 335301120.

The previous prime is 1616256157. The next prime is 1616256211. The reversal of 1616256180 is 816526161.

1616256180 is a `hidden beast` number, since 1 + 6 + 16 + 2 + 561 + 80 = 666.

1616256180 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1616256180² = 5224568078776384800, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2619232 + ... + 2619848.

It is an arithmetic number, because the mean of its divisors is an integer number (14959308).

Almost surely, 2^1616256180 is an apocalyptic number.

1616256180 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 1616256180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231210528).

1616256180 is an abundant number, since it is smaller than the sum of its proper divisors (4846164876).

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

1616256180 is a wasteful number, since it uses less digits than its factorization.

1616256180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1616256180 is about 40202.6887160548. The cubic root of 1616256180 is about 1173.5548686021.

The spelling of 1616256180 in words is "one billion, six hundred sixteen million, two hundred fifty-six thousand, one hundred eighty".