1861727616 has 384 divisors, whose sum is σ = 6683040000. Its totient is φ = 485388288.

The previous prime is 1861727603. The next prime is 1861727629. The reversal of 1861727616 is 6167271681.

1861727616 is a `hidden beast` number, since 1 + 8 + 6 + 1 + 7 + 27 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (1861727603) and next prime (1861727629).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4443055 + ... + 4443473.

It is an arithmetic number, because the mean of its divisors is an integer number (17403750).

Almost surely, 2^1861727616 is an apocalyptic number.

1861727616 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 1861727616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341520000).

1861727616 is an abundant number, since it is smaller than the sum of its proper divisors (4821312384).

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

1861727616 is a wasteful number, since it uses less digits than its factorization.

1861727616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 479 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 1861727616 is about 43147.7417253789. The cubic root of 1861727616 is about 1230.1895880673.

The spelling of 1861727616 in words is "one billion, eight hundred sixty-one million, seven hundred twenty-seven thousand, six hundred sixteen".