63726948 has 72 divisors (see below), whose sum is σ = 176117760. Its totient is φ = 19342080.

The previous prime is 63726947. The next prime is 63726961. The reversal of 63726948 is 84962736.

63726948 is a `hidden beast` number, since 637 + 2 + 6 + 9 + 4 + 8 = 666.

63726948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×63726948² = 8122247802789408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63726947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17293 + ... + 20651.

It is an arithmetic number, because the mean of its divisors is an integer number (2446080).

Almost surely, 2^63726948 is an apocalyptic number.

63726948 is a gapful number since it is divisible by the number (68) 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 63726948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

63726948 is an abundant number, since it is smaller than the sum of its proper divisors (112390812).

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

63726948 is a wasteful number, since it uses less digits than its factorization.

63726948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3412 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 63726948 is about 7982.9160085773. The cubic root of 63726948 is about 399.4303307442.

The spelling of 63726948 in words is "sixty-three million, seven hundred twenty-six thousand, nine hundred forty-eight".