63950040 has 256 divisors, whose sum is σ = 266112000. Its totient is φ = 13271040.

The previous prime is 63950027. The next prime is 63950057. The reversal of 63950040 is 4005936.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 63949986 and 63950013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82776 + ... + 83544.

It is an arithmetic number, because the mean of its divisors is an integer number (1039500).

Almost surely, 2^63950040 is an apocalyptic number.

63950040 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 63950040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056000).

63950040 is an abundant number, since it is smaller than the sum of its proper divisors (202161960).

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

63950040 is a wasteful number, since it uses less digits than its factorization.

63950040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 63950040 is about 7996.8768903866. The cubic root of 63950040 is about 399.8958895716.

Adding to 63950040 its reverse (4005936), we get a palindrome (67955976).

The spelling of 63950040 in words is "sixty-three million, nine hundred fifty thousand, forty".