63977040 has 140 divisors (see below), whose sum is σ = 223221204. Its totient is φ = 17044992.

The previous prime is 63977003. The next prime is 63977041. The reversal of 63977040 is 4077936.

It can be written as a sum of positive squares in 2 ways, for example, as 20575296 + 43401744 = 4536^2 + 6588^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 63976986 and 63977004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63977041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 57772 + ... + 58868.

Almost surely, 2^63977040 is an apocalyptic number.

63977040 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 63977040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111610602).

63977040 is an abundant number, since it is smaller than the sum of its proper divisors (159244164).

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

63977040 is a wasteful number, since it uses less digits than its factorization.

63977040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 63977040 is about 7998.5648712753. The cubic root of 63977040 is about 399.9521609455.

The spelling of 63977040 in words is "sixty-three million, nine hundred seventy-seven thousand, forty".