68376000 has 448 divisors, whose sum is σ = 289096704. Its totient is φ = 13824000.

The previous prime is 68375999. The next prime is 68376017. The reversal of 68376000 is 67386.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1847982 + ... + 1848018.

Almost surely, 2^68376000 is an apocalyptic number.

68376000 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 68376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144548352).

68376000 is an abundant number, since it is smaller than the sum of its proper divisors (220720704).

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

68376000 is a wasteful number, since it uses less digits than its factorization.

68376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 68376000 is about 8268.9781714550. The cubic root of 68376000 is about 408.9164328921.

The spelling of 68376000 in words is "sixty-eight million, three hundred seventy-six thousand".