1827863640 has 192 divisors, whose sum is σ = 6251787360. Its totient is φ = 462551040.

The previous prime is 1827863627. The next prime is 1827863657. The reversal of 1827863640 is 463687281.

1827863640 is a `hidden beast` number, since 1 + 8 + 2 + 7 + 8 + 636 + 4 + 0 = 666.

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

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, 544447 + ... + 547793.

Almost surely, 2^1827863640 is an apocalyptic number.

1827863640 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 1827863640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125893680).

1827863640 is an abundant number, since it is smaller than the sum of its proper divisors (4423923720).

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

1827863640 is a wasteful number, since it uses less digits than its factorization.

1827863640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 3435 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1827863640 is about 42753.5219601848. The cubic root of 1827863640 is about 1222.6850385473.

It can be divided in two parts, 18278 and 63640, that added together give a palindrome (81918).

The spelling of 1827863640 in words is "one billion, eight hundred twenty-seven million, eight hundred sixty-three thousand, six hundred forty".