68292000 has 288 divisors, whose sum is σ = 278014464. Its totient is φ = 15552000.

The previous prime is 68291999. The next prime is 68292031. The reversal of 68292000 is 29286.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251865 + ... + 252135.

It is an arithmetic number, because the mean of its divisors is an integer number (965328).

Almost surely, 2^68292000 is an apocalyptic number.

68292000 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 68292000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139007232).

68292000 is an abundant number, since it is smaller than the sum of its proper divisors (209722464).

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

68292000 is a wasteful number, since it uses less digits than its factorization.

68292000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 68292000 is about 8263.8973856165. The cubic root of 68292000 is about 408.7489128271.

The spelling of 68292000 in words is "sixty-eight million, two hundred ninety-two thousand".