63814080 has 112 divisors (see below), whose sum is σ = 221065344. Its totient is φ = 15467520.

The previous prime is 63814061. The next prime is 63814087. The reversal of 63814080 is 8041836.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63814087) 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, 7539 + ... + 13581.

Almost surely, 2^63814080 is an apocalyptic number.

63814080 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 63814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110532672).

63814080 is an abundant number, since it is smaller than the sum of its proper divisors (157251264).

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

63814080 is a wasteful number, since it uses less digits than its factorization.

63814080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6074 (or 6064 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 63814080 is about 7988.3715486950. The cubic root of 63814080 is about 399.6122909924.

The spelling of 63814080 in words is "sixty-three million, eight hundred fourteen thousand, eighty".