63630240 has 96 divisors (see below), whose sum is σ = 211014720. Its totient is φ = 16072704.

The previous prime is 63630233. The next prime is 63630241. The reversal of 63630240 is 4203636.

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 63630240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63630241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5632 + ... + 12608.

It is an arithmetic number, because the mean of its divisors is an integer number (2198070).

Almost surely, 2^63630240 is an apocalyptic number.

63630240 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 63630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105507360).

63630240 is an abundant number, since it is smaller than the sum of its proper divisors (147384480).

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

63630240 is a wasteful number, since it uses less digits than its factorization.

63630240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7014 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 63630240 is about 7976.8565237191. The cubic root of 63630240 is about 399.2281783529.

Adding to 63630240 its reverse (4203636), we get a palindrome (67833876).

It can be divided in two parts, 636 and 30240, that added together give a triangular number (30876 = T₂₄₈).

The spelling of 63630240 in words is "sixty-three million, six hundred thirty thousand, two hundred forty".