67896000 has 336 divisors, whose sum is σ = 259616448. Its totient is φ = 16896000.

The previous prime is 67895963. The next prime is 67896001. The reversal of 67896000 is 69876.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (67896001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1655980 + ... + 1656020.

It is an arithmetic number, because the mean of its divisors is an integer number (772668).

Almost surely, 2^67896000 is an apocalyptic number.

67896000 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 67896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129808224).

67896000 is an abundant number, since it is smaller than the sum of its proper divisors (191720448).

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

67896000 is a wasteful number, since it uses less digits than its factorization.

67896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 67896000 is about 8239.9029120494. The cubic root of 67896000 is about 407.9573196415.

The spelling of 67896000 in words is "sixty-seven million, eight hundred ninety-six thousand".