63813960 has 256 divisors, whose sum is σ = 254361600. Its totient is φ = 13913856.

The previous prime is 63813947. The next prime is 63813973. The reversal of 63813960 is 6931836.

It is a happy number.

63813960 is a `hidden beast` number, since 638 + 13 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (63813947) and next prime (63813973).

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 63 ways as a sum of consecutive naturals, for example, 173697 + ... + 174063.

It is an arithmetic number, because the mean of its divisors is an integer number (993600).

Almost surely, 2^63813960 is an apocalyptic number.

63813960 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 63813960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127180800).

63813960 is an abundant number, since it is smaller than the sum of its proper divisors (190547640).

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

63813960 is a wasteful number, since it uses less digits than its factorization.

63813960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 63813960 is about 7988.3640377739. The cubic root of 63813960 is about 399.6120405069.

The spelling of 63813960 in words is "sixty-three million, eight hundred thirteen thousand, nine hundred sixty".