1261708800 has 480 divisors, whose sum is σ = 4749338880. Its totient is φ = 292454400.

The previous prime is 1261708783. The next prime is 1261708807. The reversal of 1261708800 is 88071621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261708807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12249549 + ... + 12249651.

It is an arithmetic number, because the mean of its divisors is an integer number (9894456).

Almost surely, 2^1261708800 is an apocalyptic number.

1261708800 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 1261708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374669440).

1261708800 is an abundant number, since it is smaller than the sum of its proper divisors (3487630080).

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

1261708800 is a wasteful number, since it uses less digits than its factorization.

1261708800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 1261708800 is about 35520.5405364277. The cubic root of 1261708800 is about 1080.5703434698.

The spelling of 1261708800 in words is "one billion, two hundred sixty-one million, seven hundred eight thousand, eight hundred".