63980640 has 144 divisors (see below), whose sum is σ = 220501008. Its totient is φ = 16892928.

The previous prime is 63980591. The next prime is 63980647. The reversal of 63980640 is 4608936.

63980640 = 278² + 279² + ... + 597².

63980640 is a `hidden beast` number, since 6 + 3 + 9 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 63980595 and 63980604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63980647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225939 + ... + 226221.

It is an arithmetic number, because the mean of its divisors is an integer number (1531257).

Almost surely, 2^63980640 is an apocalyptic number.

63980640 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 63980640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110250504).

63980640 is an abundant number, since it is smaller than the sum of its proper divisors (156520368).

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

63980640 is a wasteful number, since it uses less digits than its factorization.

63980640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 63980640 is about 7998.7899084799. The cubic root of 63980640 is about 399.9596625990.

It can be divided in two parts, 63980 and 640, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 63980640 in words is "sixty-three million, nine hundred eighty thousand, six hundred forty".