1242604800 has 648 divisors, whose sum is σ = 4981931136. Its totient is φ = 305233920.

The previous prime is 1242604787. The next prime is 1242604819. The reversal of 1242604800 is 84062421.

1242604800 is a `hidden beast` number, since 12 + 42 + 604 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26438377 + ... + 26438423.

Almost surely, 2^1242604800 is an apocalyptic number.

1242604800 is a gapful number since it is divisible by the number (10) 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 1242604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490965568).

1242604800 is an abundant number, since it is smaller than the sum of its proper divisors (3739326336).

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

1242604800 is an equidigital number, since it uses as much as digits as its factorization.

1242604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1242604800 is about 35250.5999948937. The cubic root of 1242604800 is about 1075.0888118441.

The spelling of 1242604800 in words is "one billion, two hundred forty-two million, six hundred four thousand, eight hundred".