1268614800 has 360 divisors, whose sum is σ = 4911248160. Its totient is φ = 301363200.

The previous prime is 1268614777. The next prime is 1268614801. The reversal of 1268614800 is 84168621.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1268614801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1162255 + ... + 1163345.

It is an arithmetic number, because the mean of its divisors is an integer number (13642356).

Almost surely, 2^1268614800 is an apocalyptic number.

1268614800 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 1268614800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455624080).

1268614800 is an abundant number, since it is smaller than the sum of its proper divisors (3642633360).

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

1268614800 is a wasteful number, since it uses less digits than its factorization.

1268614800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1268614800 is about 35617.6192354290. The cubic root of 1268614800 is about 1082.5382684478.

The spelling of 1268614800 in words is "one billion, two hundred sixty-eight million, six hundred fourteen thousand, eight hundred".