63948288 has 160 divisors (see below), whose sum is σ = 188559360. Its totient is φ = 19169280.

The previous prime is 63948259. The next prime is 63948299. The reversal of 63948288 is 88284936.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 809433 + ... + 809511.

It is an arithmetic number, because the mean of its divisors is an integer number (1178496).

Almost surely, 2^63948288 is an apocalyptic number.

63948288 is a gapful number since it is divisible by the number (68) 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 63948288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94279680).

63948288 is an abundant number, since it is smaller than the sum of its proper divisors (124611072).

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

63948288 is a wasteful number, since it uses less digits than its factorization.

63948288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 63948288 is about 7996.7673468721. The cubic root of 63948288 is about 399.8922376375.

The spelling of 63948288 in words is "sixty-three million, nine hundred forty-eight thousand, two hundred eighty-eight".