68678400 has 324 divisors, whose sum is σ = 267269352. Its totient is φ = 15482880.

The previous prime is 68678387. The next prime is 68678429. The reversal of 68678400 is 487686.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 940764 + ... + 940836.

Almost surely, 2^68678400 is an apocalyptic number.

68678400 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 68678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133634676).

68678400 is an abundant number, since it is smaller than the sum of its proper divisors (198590952).

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

68678400 is a wasteful number, since it uses less digits than its factorization.

68678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

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

The square root of 68678400 is about 8287.2432086913. The cubic root of 68678400 is about 409.5183715916.

The spelling of 68678400 in words is "sixty-eight million, six hundred seventy-eight thousand, four hundred".