1616614416 has 160 divisors (see below), whose sum is σ = 4736363520. Its totient is φ = 527855616.

The previous prime is 1616614361. The next prime is 1616614459. The reversal of 1616614416 is 6144166161.

1616614416 is a `hidden beast` number, since 16 + 16 + 614 + 4 + 16 = 666.

It is a super-2 number, since 2×1616614416² = 5226884340038042112, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 7249281 + ... + 7249503.

It is an arithmetic number, because the mean of its divisors is an integer number (29602272).

Almost surely, 2^1616614416 is an apocalyptic number.

1616614416 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 1616614416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368181760).

1616614416 is an abundant number, since it is smaller than the sum of its proper divisors (3119749104).

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

1616614416 is a wasteful number, since it uses less digits than its factorization.

1616614416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 498 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1616614416 is about 40207.1438428546. The cubic root of 1616614416 is about 1173.6415666042.

The spelling of 1616614416 in words is "one billion, six hundred sixteen million, six hundred fourteen thousand, four hundred sixteen".