63139440 has 320 divisors, whose sum is σ = 249984000. Its totient is φ = 13095936.

The previous prime is 63139423. The next prime is 63139441. The reversal of 63139440 is 4493136.

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 = 63139398 and 63139407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63139441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1070131 + ... + 1070189.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 2^63139440 is an apocalyptic number.

63139440 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 63139440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992000).

63139440 is an abundant number, since it is smaller than the sum of its proper divisors (186844560).

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

63139440 is a wasteful number, since it uses less digits than its factorization.

63139440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 63139440 is about 7946.0329724964. The cubic root of 63139440 is about 398.1990704675.

It can be divided in two parts, 6313 and 9440, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 63139440 in words is "sixty-three million, one hundred thirty-nine thousand, four hundred forty".