68266800 has 450 divisors, whose sum is σ = 291632748. Its totient is φ = 15240960.

The previous prime is 68266787. The next prime is 68266817. The reversal of 68266800 is 866286.

It is a tau number, because it is divible by the number of its divisors (450).

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1587579 + ... + 1587621.

Almost surely, 2^68266800 is an apocalyptic number.

68266800 is a gapful number since it is divisible by the number (60) 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 68266800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145816374).

68266800 is an abundant number, since it is smaller than the sum of its proper divisors (223365948).

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

68266800 is a wasteful number, since it uses less digits than its factorization.

68266800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 68266800 is about 8262.3725406205. The cubic root of 68266800 is about 408.6986300227.

The spelling of 68266800 in words is "sixty-eight million, two hundred sixty-six thousand, eight hundred".