68978000 has 160 divisors (see below), whose sum is σ = 205820160. Its totient is φ = 21772800.

The previous prime is 68977973. The next prime is 68978003. The reversal of 68978000 is 87986.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68978003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181811 + ... + 182189.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^68978000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102910080).

68978000 is an abundant number, since it is smaller than the sum of its proper divisors (136842160).

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

68978000 is a wasteful number, since it uses less digits than its factorization.

68978000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 68978000 is about 8305.2995129616. The cubic root of 68978000 is about 410.1129968145.

The spelling of 68978000 in words is "sixty-eight million, nine hundred seventy-eight thousand".