1616152032 has 144 divisors (see below), whose sum is σ = 5028791040. Its totient is φ = 488275200.

The previous prime is 1616152007. The next prime is 1616152079. The reversal of 1616152032 is 2302516161.

1616152032 is a `hidden beast` number, since 1 + 616 + 15 + 2 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1616152032² = 5223894781075458048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1616151987 and 1616152005.

It is a congruent number.

It is an unprimeable number.

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, 1554969 + ... + 1556007.

It is an arithmetic number, because the mean of its divisors is an integer number (34922160).

Almost surely, 2^1616152032 is an apocalyptic number.

1616152032 is a gapful number since it is divisible by the number (12) 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 1616152032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514395520).

1616152032 is an abundant number, since it is smaller than the sum of its proper divisors (3412639008).

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

1616152032 is a wasteful number, since it uses less digits than its factorization.

1616152032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1616152032 is about 40201.3934086867. The cubic root of 1616152032 is about 1173.5296609608.

Adding to 1616152032 its reverse (2302516161), we get a palindrome (3918668193).

The spelling of 1616152032 in words is "one billion, six hundred sixteen million, one hundred fifty-two thousand, thirty-two".