63434640 has 80 divisors (see below), whose sum is σ = 200397888. Its totient is φ = 16593408.

The previous prime is 63434627. The next prime is 63434641. The reversal of 63434640 is 4643436.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 63434598 and 63434607.

It is not an unprimeable number, because it can be changed into a prime (63434641) 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, 10227 + ... + 15213.

Almost surely, 2^63434640 is an apocalyptic number.

63434640 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 63434640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100198944).

63434640 is an abundant number, since it is smaller than the sum of its proper divisors (136963248).

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

63434640 is a wasteful number, since it uses less digits than its factorization.

63434640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5056 (or 5050 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 63434640 is about 7964.5866182747. The cubic root of 63434640 is about 398.8186813166.

The spelling of 63434640 in words is "sixty-three million, four hundred thirty-four thousand, six hundred forty".