1225887600 has 240 divisors, whose sum is σ = 4724737280. Its totient is φ = 265420800.

The previous prime is 1225887571. The next prime is 1225887647. The reversal of 1225887600 is 67885221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155760 + ... + 163440.

Almost surely, 2^1225887600 is an apocalyptic number.

1225887600 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 1225887600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362368640).

1225887600 is an abundant number, since it is smaller than the sum of its proper divisors (3498849680).

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

1225887600 is a wasteful number, since it uses less digits than its factorization.

1225887600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7728 (or 7717 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 1225887600 is about 35012.6777039403. The cubic root of 1225887600 is about 1070.2458456263.

The spelling of 1225887600 in words is "one billion, two hundred twenty-five million, eight hundred eighty-seven thousand, six hundred".