68654400 has 84 divisors (see below), whose sum is σ = 225259392. Its totient is φ = 18306560.

The previous prime is 68654389. The next prime is 68654437. The reversal of 68654400 is 445686.

It is a happy number.

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, 2352 + ... + 11951.

Almost surely, 2^68654400 is an apocalyptic number.

68654400 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 68654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112629696).

68654400 is an abundant number, since it is smaller than the sum of its proper divisors (156604992).

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

68654400 is a wasteful number, since it uses less digits than its factorization.

68654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14328 (or 14313 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 68654400 is about 8285.7950734978. The cubic root of 68654400 is about 409.4706633068.

The spelling of 68654400 in words is "sixty-eight million, six hundred fifty-four thousand, four hundred".