68348400 has 60 divisors (see below), whose sum is σ = 218946552. Its totient is φ = 18225920.

The previous prime is 68348383. The next prime is 68348419. The reversal of 68348400 is 484386.

It is a tau number, because it is divible by the number of its divisors (60).

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, 27279 + ... + 29678.

Almost surely, 2^68348400 is an apocalyptic number.

68348400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68348400 is an abundant number, since it is smaller than the sum of its proper divisors (150598152).

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

68348400 is a wasteful number, since it uses less digits than its factorization.

68348400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56978 (or 56967 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 68348400 is about 8267.3091148209. The cubic root of 68348400 is about 408.8614057265.

The spelling of 68348400 in words is "sixty-eight million, three hundred forty-eight thousand, four hundred".