63794880 has 168 divisors, whose sum is σ = 232513632. Its totient is φ = 15998976.

The previous prime is 63794831. The next prime is 63794891. The reversal of 63794880 is 8849736.

It is a happy number.

63794880 is a `hidden beast` number, since 637 + 9 + 4 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 48309 + ... + 49611.

Almost surely, 2^63794880 is an apocalyptic number.

63794880 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 63794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116256816).

63794880 is an abundant number, since it is smaller than the sum of its proper divisors (168718752).

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

63794880 is a wasteful number, since it uses less digits than its factorization.

63794880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 63794880 is about 7987.1697114810. The cubic root of 63794880 is about 399.5722093176.

The spelling of 63794880 in words is "sixty-three million, seven hundred ninety-four thousand, eight hundred eighty".