1146700800 has 660 divisors, whose sum is σ = 4914110080. Its totient is φ = 258785280.

The previous prime is 1146700691. The next prime is 1146700837. The reversal of 1146700800 is 80076411.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14515161 + ... + 14515239.

Almost surely, 2^1146700800 is an apocalyptic number.

1146700800 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 1146700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457055040).

1146700800 is an abundant number, since it is smaller than the sum of its proper divisors (3767409280).

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

1146700800 is an equidigital number, since it uses as much as digits as its factorization.

1146700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1146700800 is about 33862.9709269580. The cubic root of 1146700800 is about 1046.6866986488.

The spelling of 1146700800 in words is "one billion, one hundred forty-six million, seven hundred thousand, eight hundred".