1611516060 has 240 divisors, whose sum is σ = 6303306240. Its totient is φ = 334834560.

The previous prime is 1611516043. The next prime is 1611516079. The reversal of 1611516060 is 606151161.

1611516060 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 51 + 606 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 118281 + ... + 131199.

It is an arithmetic number, because the mean of its divisors is an integer number (26263776).

Almost surely, 2^1611516060 is an apocalyptic number.

1611516060 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 1611516060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151653120).

1611516060 is an abundant number, since it is smaller than the sum of its proper divisors (4691790180).

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

1611516060 is a wasteful number, since it uses less digits than its factorization.

1611516060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12958 (or 12947 counting only the distinct ones).

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

The square root of 1611516060 is about 40143.6926552603. The cubic root of 1611516060 is about 1172.4064867235.

The spelling of 1611516060 in words is "one billion, six hundred eleven million, five hundred sixteen thousand, sixty".