63954000 has 480 divisors, whose sum is σ = 271589760. Its totient is φ = 13824000.

The previous prime is 63953993. The next prime is 63954013. The reversal of 63954000 is 45936.

It is a happy number.

It is a super-2 number, since 2×63954000² = 8180228232000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3365991 + ... + 3366009.

It is an arithmetic number, because the mean of its divisors is an integer number (565812).

Almost surely, 2^63954000 is an apocalyptic number.

63954000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

63954000 is the 4275-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63954000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135794880).

63954000 is an abundant number, since it is smaller than the sum of its proper divisors (207635760).

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

63954000 is a wasteful number, since it uses less digits than its factorization.

63954000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 63954000 is about 7997.1244832127. The cubic root of 63954000 is about 399.9041436974.

Adding to 63954000 its reverse (45936), we get a palindrome (63999936).

The spelling of 63954000 in words is "sixty-three million, nine hundred fifty-four thousand".