63245952 has 384 divisors, whose sum is σ = 244408320. Its totient is φ = 15206400.

The previous prime is 63245909. The next prime is 63245953. The reversal of 63245952 is 25954236.

63245952 is a `hidden beast` number, since 63 + 2 + 4 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (63245953) 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, 2040177 + ... + 2040207.

It is an arithmetic number, because the mean of its divisors is an integer number (636480).

Almost surely, 2^63245952 is an apocalyptic number.

63245952 is a gapful number since it is divisible by the number (62) 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 63245952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122204160).

63245952 is an abundant number, since it is smaller than the sum of its proper divisors (181162368).

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

63245952 is a wasteful number, since it uses less digits than its factorization.

63245952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 77 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 63245952 is about 7952.7323606418. The cubic root of 63245952 is about 398.4228563845.

The spelling of 63245952 in words is "sixty-three million, two hundred forty-five thousand, nine hundred fifty-two".