63245984 has 96 divisors (see below), whose sum is σ = 144244800. Its totient is φ = 27095040.

The previous prime is 63245971. The next prime is 63245989. The reversal of 63245984 is 48954236.

63245984 = T₁₁₇ + T₁₁₈ + ... + T₇₂₄.

It is not an unprimeable number, because it can be changed into a prime (63245989) 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 15 ways as a sum of consecutive naturals, for example, 299639 + ... + 299849.

It is an arithmetic number, because the mean of its divisors is an integer number (1502550).

Almost surely, 2^63245984 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 63245984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72122400).

63245984 is an abundant number, since it is smaller than the sum of its proper divisors (80998816).

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

63245984 is a wasteful number, since it uses less digits than its factorization.

63245984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The square root of 63245984 is about 7952.7343725287. The cubic root of 63245984 is about 398.4229235800.

The spelling of 63245984 in words is "sixty-three million, two hundred forty-five thousand, nine hundred eighty-four".