1616601140 has 108 divisors (see below), whose sum is σ = 4341092868. Its totient is φ = 503838720.

The previous prime is 1616601079. The next prime is 1616601193. The reversal of 1616601140 is 411066161.

It can be written as a sum of positive squares in 2 ways, for example, as 865183396 + 751417744 = 29414^2 + 27412^2 .

It is a super-2 number, since 2×1616601140² = 5226798491698599200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111764 + ... + 125396.

Almost surely, 2^1616601140 is an apocalyptic number.

1616601140 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 1616601140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170546434).

1616601140 is an abundant number, since it is smaller than the sum of its proper divisors (2724491728).

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

1616601140 is a wasteful number, since it uses less digits than its factorization.

1616601140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13678 (or 13658 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 1616601140 is about 40206.9787474762. The cubic root of 1616601140 is about 1173.6383538595.

The spelling of 1616601140 in words is "one billion, six hundred sixteen million, six hundred one thousand, one hundred forty".