63876960 has 144 divisors (see below), whose sum is σ = 249159456. Its totient is φ = 14598144.

The previous prime is 63876949. The next prime is 63876961. The reversal of 63876960 is 6967836.

63876960 = T₁₈₉₃ + T₁₈₉₄ + ... + T₁₉₂₇.

63876960 is a `hidden beast` number, since 638 + 7 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63876961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6912 + ... + 13248.

It is an arithmetic number, because the mean of its divisors is an integer number (1730274).

Almost surely, 2^63876960 is an apocalyptic number.

63876960 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 63876960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124579728).

63876960 is an abundant number, since it is smaller than the sum of its proper divisors (185282496).

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

63876960 is a wasteful number, since it uses less digits than its factorization.

63876960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6365 (or 6354 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 63876960 is about 7992.3063004367. The cubic root of 63876960 is about 399.7435022241.

The spelling of 63876960 in words is "sixty-three million, eight hundred seventy-six thousand, nine hundred sixty".