1616511060 has 192 divisors, whose sum is σ = 5144912640. Its totient is φ = 421286400.

The previous prime is 1616511053. The next prime is 1616511073. The reversal of 1616511060 is 601156161.

1616511060 is a `hidden beast` number, since 1 + 6 + 1 + 651 + 1 + 0 + 6 + 0 = 666.

It is a super-2 number, since 2×1616511060² = 5226216014204647200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5835642 + ... + 5835918.

It is an arithmetic number, because the mean of its divisors is an integer number (26796420).

Almost surely, 2^1616511060 is an apocalyptic number.

1616511060 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 1616511060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572456320).

1616511060 is an abundant number, since it is smaller than the sum of its proper divisors (3528401580).

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

1616511060 is a wasteful number, since it uses less digits than its factorization.

1616511060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1616511060 is about 40205.8585283289. The cubic root of 1616511060 is about 1173.6165543560.

It can be divided in two parts, 16165 and 11060, that added together give a square (27225 = 165²).

The spelling of 1616511060 in words is "one billion, six hundred sixteen million, five hundred eleven thousand, sixty".