63114688 has 56 divisors (see below), whose sum is σ = 154159712. Its totient is φ = 24966144.

The previous prime is 63114671. The next prime is 63114697. The reversal of 63114688 is 88641136.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 406 + ... + 11242.

It is an arithmetic number, because the mean of its divisors is an integer number (2752852).

Almost surely, 2^63114688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63114688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77079856).

63114688 is an abundant number, since it is smaller than the sum of its proper divisors (91045024).

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

63114688 is a wasteful number, since it uses less digits than its factorization.

63114688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10869 (or 10859 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 63114688 is about 7944.4753130713. The cubic root of 63114688 is about 398.1470295054.

It can be divided in two parts, 63 and 114688, that multiplied together give a square (7225344 = 2688²).

The spelling of 63114688 in words is "sixty-three million, one hundred fourteen thousand, six hundred eighty-eight".