1260148800 has 168 divisors, whose sum is σ = 4377818016. Its totient is φ = 316252160.

The previous prime is 1260148793. The next prime is 1260148811. The reversal of 1260148800 is 88410621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 73879 + ... + 89321.

Almost surely, 2^1260148800 is an apocalyptic number.

1260148800 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 1260148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188909008).

1260148800 is an abundant number, since it is smaller than the sum of its proper divisors (3117669216).

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

1260148800 is a wasteful number, since it uses less digits than its factorization.

1260148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15485 (or 15470 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1260148800 is about 35498.5746192717. The cubic root of 1260148800 is about 1080.1248141071.

The spelling of 1260148800 in words is "one billion, two hundred sixty million, one hundred forty-eight thousand, eight hundred".