63840000 has 360 divisors, whose sum is σ = 255418240. Its totient is φ = 13824000.

The previous prime is 63839999. The next prime is 63840001. The reversal of 63840000 is 4836.

It is an interprime number because it is at equal distance from previous prime (63839999) and next prime (63840001).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63840001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3359991 + ... + 3360009.

Almost surely, 2^63840000 is an apocalyptic number.

63840000 is a gapful number since it is divisible by the number (60) 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 63840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127709120).

63840000 is an abundant number, since it is smaller than the sum of its proper divisors (191578240).

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

63840000 is an equidigital number, since it uses as much as digits as its factorization.

63840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 63840000 is about 7989.9937421753. The cubic root of 63840000 is about 399.6663885024. Note that the first 3 decimals are identical.

Adding to 63840000 its reverse (4836), we get a palindrome (63844836).

It can be divided in two parts, 6 and 3840000, that multiplied together give a square (23040000 = 4800²).

The spelling of 63840000 in words is "sixty-three million, eight hundred forty thousand".