63488436 has 48 divisors (see below), whose sum is σ = 162570240. Its totient is φ = 19124320.

The previous prime is 63488407. The next prime is 63488437.

63488436 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63488437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22285 + ... + 24971.

It is an arithmetic number, because the mean of its divisors is an integer number (3386880).

Almost surely, 2^63488436 is an apocalyptic number.

63488436 is a gapful number since it is divisible by the number (66) 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 63488436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81285120).

63488436 is an abundant number, since it is smaller than the sum of its proper divisors (99081804).

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

63488436 is a wasteful number, since it uses less digits than its factorization.

63488436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2882 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 63488436 is about 7967.9631023242. The cubic root of 63488436 is about 398.9313893873.

The spelling of 63488436 in words is "sixty-three million, four hundred eighty-eight thousand, four hundred thirty-six".