63261000 has 320 divisors, whose sum is σ = 244632960. Its totient is φ = 15120000.

The previous prime is 63260993. The next prime is 63261001. The reversal of 63261000 is 16236.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (63261001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 890965 + ... + 891035.

It is an arithmetic number, because the mean of its divisors is an integer number (764478).

Almost surely, 2^63261000 is an apocalyptic number.

63261000 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 63261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122316480).

63261000 is an abundant number, since it is smaller than the sum of its proper divisors (181371960).

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

63261000 is a wasteful number, since it uses less digits than its factorization.

63261000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 63261000 is about 7953.6783943029. The cubic root of 63261000 is about 398.4544525659.

Adding to 63261000 its reverse (16236), we get a palindrome (63277236).

The spelling of 63261000 in words is "sixty-three million, two hundred sixty-one thousand".