63497952 has 96 divisors (see below), whose sum is σ = 211680000. Its totient is φ = 18140544.

The previous prime is 63497947. The next prime is 63497969. The reversal of 63497952 is 25979436.

It is a happy number.

63497952 is a `hidden beast` number, since 634 + 9 + 7 + 9 + 5 + 2 = 666.

63497952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 63497898 and 63497907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 799 + ... + 11297.

It is an arithmetic number, because the mean of its divisors is an integer number (2205000).

Almost surely, 2^63497952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63497952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840000).

63497952 is an abundant number, since it is smaller than the sum of its proper divisors (148182048).

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

63497952 is a wasteful number, since it uses less digits than its factorization.

63497952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10525 (or 10511 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 63497952 is about 7968.5602212696. The cubic root of 63497952 is about 398.9513197436.

The spelling of 63497952 in words is "sixty-three million, four hundred ninety-seven thousand, nine hundred fifty-two".