63515040 has 96 divisors (see below), whose sum is σ = 202015296. Its totient is φ = 16773120.

The previous prime is 63515033. The next prime is 63515057. The reversal of 63515040 is 4051536.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 63515040.

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 15 ways as a sum of consecutive naturals, for example, 53655 + ... + 54825.

It is an arithmetic number, because the mean of its divisors is an integer number (2104326).

Almost surely, 2^63515040 is an apocalyptic number.

63515040 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 63515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101007648).

63515040 is an abundant number, since it is smaller than the sum of its proper divisors (138500256).

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

63515040 is a wasteful number, since it uses less digits than its factorization.

63515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 63515040 is about 7969.6323629136. The cubic root of 63515040 is about 398.9871039356.

Adding to 63515040 its reverse (4051536), we get a palindrome (67566576).

The spelling of 63515040 in words is "sixty-three million, five hundred fifteen thousand, forty".