63434976 has 144 divisors (see below), whose sum is σ = 188762112. Its totient is φ = 18627840.

The previous prime is 63434957. The next prime is 63435023. The reversal of 63434976 is 67943436.

It is a super-3 number, since 3×63434976³ (a number of 24 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 499425 + ... + 499551.

It is an arithmetic number, because the mean of its divisors is an integer number (1310848).

Almost surely, 2^63434976 is an apocalyptic number.

63434976 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 63434976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94381056).

63434976 is an abundant number, since it is smaller than the sum of its proper divisors (125327136).

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

63434976 is a wasteful number, since it uses less digits than its factorization.

63434976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 186 counting only the distinct ones).

The product of its digits is 326592, while the sum is 42.

The square root of 63434976 is about 7964.6077116202. The cubic root of 63434976 is about 398.8193854683.

The spelling of 63434976 in words is "sixty-three million, four hundred thirty-four thousand, nine hundred seventy-six".