1616015664 has 320 divisors, whose sum is σ = 5142528000. Its totient is φ = 484081920.

The previous prime is 1616015623. The next prime is 1616015689. The reversal of 1616015664 is 4665106161.

It is a happy number.

It is a super-2 number, since 2×1616015664² = 5223013252586721792, which contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 22760749 + ... + 22760819.

It is an arithmetic number, because the mean of its divisors is an integer number (16070400).

Almost surely, 2^1616015664 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 1616015664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571264000).

1616015664 is an abundant number, since it is smaller than the sum of its proper divisors (3526512336).

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

1616015664 is a wasteful number, since it uses less digits than its factorization.

1616015664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1616015664 is about 40199.6973122933. The cubic root of 1616015664 is about 1173.4966532588.

The spelling of 1616015664 in words is "one billion, six hundred sixteen million, fifteen thousand, six hundred sixty-four".