1861738560 has 448 divisors, whose sum is σ = 7549286400. Its totient is φ = 427161600.

The previous prime is 1861738559. The next prime is 1861738577. The reversal of 1861738560 is 658371681.

1861738560 is a `hidden beast` number, since 1 + 86 + 1 + 7 + 3 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1805245 + ... + 1806275.

Almost surely, 2^1861738560 is an apocalyptic number.

1861738560 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 1861738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774643200).

1861738560 is an abundant number, since it is smaller than the sum of its proper divisors (5687547840).

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

1861738560 is a wasteful number, since it uses less digits than its factorization.

1861738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1861738560 is about 43147.8685452712. The cubic root of 1861738560 is about 1230.1919985826.

The spelling of 1861738560 in words is "one billion, eight hundred sixty-one million, seven hundred thirty-eight thousand, five hundred sixty".