63013140 has 120 divisors (see below), whose sum is σ = 200210472. Its totient is φ = 16588800.

The previous prime is 63013127. The next prime is 63013147. The reversal of 63013140 is 4131036.

63013140 is a `hidden beast` number, since 630 + 1 + 31 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22410756 + 40602384 = 4734^2 + 6372^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63013147) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 156940 + ... + 157340.

Almost surely, 2^63013140 is an apocalyptic number.

63013140 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 63013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100105236).

63013140 is an abundant number, since it is smaller than the sum of its proper divisors (137197332).

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

63013140 is a wasteful number, since it uses less digits than its factorization.

63013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 63013140 is about 7938.0816322333. The cubic root of 63013140 is about 397.9333827881.

Adding to 63013140 its reverse (4131036), we get a palindrome (67144176).

The spelling of 63013140 in words is "sixty-three million, thirteen thousand, one hundred forty".