63825000 has 192 divisors, whose sum is σ = 213736320. Its totient is φ = 15840000.

The previous prime is 63824983. The next prime is 63825007. The reversal of 63825000 is 52836.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63825007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1724982 + ... + 1725018.

It is an arithmetic number, because the mean of its divisors is an integer number (1113210).

Almost surely, 2^63825000 is an apocalyptic number.

63825000 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 63825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

63825000 is an abundant number, since it is smaller than the sum of its proper divisors (149911320).

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

63825000 is a wasteful number, since it uses less digits than its factorization.

63825000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

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

The square root of 63825000 is about 7989.0550129537. The cubic root of 63825000 is about 399.6350838584.

Adding to 63825000 its reverse (52836), we get a palindrome (63877836).

The spelling of 63825000 in words is "sixty-three million, eight hundred twenty-five thousand".