1616609280 has 512 divisors, whose sum is σ = 6341690880. Its totient is φ = 346030080.

The previous prime is 1616609279. The next prime is 1616609317. The reversal of 1616609280 is 829066161.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×1616609280² = 5226851128364236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70287349 + ... + 70287371.

It is an arithmetic number, because the mean of its divisors is an integer number (12386115).

Almost surely, 2^1616609280 is an apocalyptic number.

1616609280 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 1616609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170845440).

1616609280 is an abundant number, since it is smaller than the sum of its proper divisors (4725081600).

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

1616609280 is a wasteful number, since it uses less digits than its factorization.

1616609280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1616609280 is about 40207.0799735569. The cubic root of 1616609280 is about 1173.6403237126.

The spelling of 1616609280 in words is "one billion, six hundred sixteen million, six hundred nine thousand, two hundred eighty".