68786400 has 72 divisors (see below), whose sum is σ = 223907544. Its totient is φ = 18342400.

The previous prime is 68786381. The next prime is 68786411. The reversal of 68786400 is 468786.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11931 + ... + 16730.

It is an arithmetic number, because the mean of its divisors is an integer number (3109827).

Almost surely, 2^68786400 is an apocalyptic number.

68786400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68786400 is an abundant number, since it is smaller than the sum of its proper divisors (155121144).

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

68786400 is a wasteful number, since it uses less digits than its factorization.

68786400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28684 (or 28671 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 68786400 is about 8293.7566880154. The cubic root of 68786400 is about 409.7329214396.

The spelling of 68786400 in words is "sixty-eight million, seven hundred eighty-six thousand, four hundred".