1863086400 has 672 divisors, whose sum is σ = 7967228160. Its totient is φ = 414720000.

The previous prime is 1863086399. The next prime is 1863086417. The reversal of 1863086400 is 46803681.

It is a happy number.

1863086400 is a `hidden beast` number, since 1 + 8 + 6 + 3 + 0 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18446350 + ... + 18446450.

Almost surely, 2^1863086400 is an apocalyptic number.

1863086400 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 1863086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983614080).

1863086400 is an abundant number, since it is smaller than the sum of its proper divisors (6104141760).

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

1863086400 is a wasteful number, since it uses less digits than its factorization.

1863086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1863086400 is about 43163.4845673979. The cubic root of 1863086400 is about 1230.4888003717.

The spelling of 1863086400 in words is "one billion, eight hundred sixty-three million, eighty-six thousand, four hundred".