1616564016 has 120 divisors (see below), whose sum is σ = 4831047936. Its totient is φ = 503395200.

The previous prime is 1616564011. The next prime is 1616564021. The reversal of 1616564016 is 6104656161.

It is a happy number.

1616564016 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 5 + 640 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1616564011) and next prime (1616564021).

It is a super-2 number, since 2×1616564016² = 5226558435652096512, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1616564011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136741 + ... + 148091.

Almost surely, 2^1616564016 is an apocalyptic number.

1616564016 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 1616564016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415523968).

1616564016 is an abundant number, since it is smaller than the sum of its proper divisors (3214483920).

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

1616564016 is a wasteful number, since it uses less digits than its factorization.

1616564016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11431 (or 11422 counting only the distinct ones).

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

The square root of 1616564016 is about 40206.5170836769. The cubic root of 1616564016 is about 1173.6293698905.

The spelling of 1616564016 in words is "one billion, six hundred sixteen million, five hundred sixty-four thousand, sixteen".