63761040 has 160 divisors (see below), whose sum is σ = 251055360. Its totient is φ = 14570496.

The previous prime is 63761011. The next prime is 63761057. The reversal of 63761040 is 4016736.

63761040 is a `hidden beast` number, since 6 + 3 + 7 + 610 + 40 = 666.

63761040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 63760995 and 63761013.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13012 + ... + 17228.

It is an arithmetic number, because the mean of its divisors is an integer number (1569096).

Almost surely, 2^63761040 is an apocalyptic number.

63761040 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 63761040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125527680).

63761040 is an abundant number, since it is smaller than the sum of its proper divisors (187294320).

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

63761040 is a wasteful number, since it uses less digits than its factorization.

63761040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4246 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 63761040 is about 7985.0510330241. The cubic root of 63761040 is about 399.5015457832.

Adding to 63761040 its reverse (4016736), we get a palindrome (67777776).

The spelling of 63761040 in words is "sixty-three million, seven hundred sixty-one thousand, forty".