63434880 has 128 divisors (see below), whose sum is σ = 224726400. Its totient is φ = 16911360.

The previous prime is 63434827. The next prime is 63434881. The reversal of 63434880 is 8843436.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×63434880² = 8047968001228800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63434881) 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, 15445 + ... + 19115.

It is an arithmetic number, because the mean of its divisors is an integer number (1755675).

Almost surely, 2^63434880 is an apocalyptic number.

63434880 is a gapful number since it is divisible by the number (60) 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 63434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112363200).

63434880 is an abundant number, since it is smaller than the sum of its proper divisors (161291520).

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

63434880 is a wasteful number, since it uses less digits than its factorization.

63434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3699 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 63434880 is about 7964.6016849558. The cubic root of 63434880 is about 398.8191842824.

The spelling of 63434880 in words is "sixty-three million, four hundred thirty-four thousand, eight hundred eighty".