63135840 has 96 divisors (see below), whose sum is σ = 205341696. Its totient is φ = 16289280.

The previous prime is 63135833. The next prime is 63135857. The reversal of 63135840 is 4853136.

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

It is a super-2 number, since 2×63135840² = 7972268585011200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 63135798 and 63135807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12759 + ... + 17001.

It is an arithmetic number, because the mean of its divisors is an integer number (2138976).

Almost surely, 2^63135840 is an apocalyptic number.

63135840 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 63135840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102670848).

63135840 is an abundant number, since it is smaller than the sum of its proper divisors (142205856).

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

63135840 is a wasteful number, since it uses less digits than its factorization.

63135840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 63135840 is about 7945.8064411361. The cubic root of 63135840 is about 398.1915023300.

Adding to 63135840 its reverse (4853136), we get a palindrome (67988976).

The spelling of 63135840 in words is "sixty-three million, one hundred thirty-five thousand, eight hundred forty".