63257040 has 360 divisors, whose sum is σ = 271241568. Its totient is φ = 13063680.

The previous prime is 63257011. The next prime is 63257041. The reversal of 63257040 is 4075236.

It is a happy number.

63257040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 63256995 and 63257013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63257041) 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 71 ways as a sum of consecutive naturals, for example, 387999 + ... + 388161.

Almost surely, 2^63257040 is an apocalyptic number.

63257040 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 63257040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135620784).

63257040 is an abundant number, since it is smaller than the sum of its proper divisors (207984528).

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

63257040 is a wasteful number, since it uses less digits than its factorization.

63257040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 63257040 is about 7953.4294489861. The cubic root of 63257040 is about 398.4461382672.

The spelling of 63257040 in words is "sixty-three million, two hundred fifty-seven thousand, forty".