63838080 has 96 divisors (see below), whose sum is σ = 220460760. Its totient is φ = 17021952.

The previous prime is 63838067. The next prime is 63838091. The reversal of 63838080 is 8083836.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219 + ... + 11301.

Almost surely, 2^63838080 is an apocalyptic number.

63838080 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 63838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110230380).

63838080 is an abundant number, since it is smaller than the sum of its proper divisors (156622680).

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

63838080 is a wasteful number, since it uses less digits than its factorization.

63838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11108 (or 11093 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 63838080 is about 7989.8735909900. The cubic root of 63838080 is about 399.6623817817.

The spelling of 63838080 in words is "sixty-three million, eight hundred thirty-eight thousand, eighty".