63852000 has 192 divisors, whose sum is σ = 222191424. Its totient is φ = 15974400.

The previous prime is 63851999. The next prime is 63852023. The reversal of 63852000 is 25836.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203844 + ... + 204156.

It is an arithmetic number, because the mean of its divisors is an integer number (1157247).

Almost surely, 2^63852000 is an apocalyptic number.

63852000 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 63852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111095712).

63852000 is an abundant number, since it is smaller than the sum of its proper divisors (158339424).

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

63852000 is a wasteful number, since it uses less digits than its factorization.

63852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 63852000 is about 7990.7446461516. The cubic root of 63852000 is about 399.6914286872.

Adding to 63852000 its reverse (25836), we get a palindrome (63877836).

It can be divided in two parts, 6385 and 2000, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 63852000 in words is "sixty-three million, eight hundred fifty-two thousand".