1146679800 has 192 divisors, whose sum is σ = 4162233600. Its totient is φ = 255667200.

The previous prime is 1146679763. The next prime is 1146679813. The reversal of 1146679800 is 89766411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168871 + ... + 175529.

It is an arithmetic number, because the mean of its divisors is an integer number (21678300).

Almost surely, 2^1146679800 is an apocalyptic number.

1146679800 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 1146679800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081116800).

1146679800 is an abundant number, since it is smaller than the sum of its proper divisors (3015553800).

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

1146679800 is a wasteful number, since it uses less digits than its factorization.

1146679800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6726 (or 6717 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1146679800 is about 33862.6608523311. The cubic root of 1146679800 is about 1046.6803091428.

The spelling of 1146679800 in words is "one billion, one hundred forty-six million, six hundred seventy-nine thousand, eight hundred".