64068000 has 192 divisors, whose sum is σ = 221719680. Its totient is φ = 16128000.

The previous prime is 64067987. The next prime is 64068007. The reversal of 64068000 is 86046.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (64068007) 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, 227860 + ... + 228140.

It is an arithmetic number, because the mean of its divisors is an integer number (1154790).

Almost surely, 2^64068000 is an apocalyptic number.

64068000 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 64068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110859840).

64068000 is an abundant number, since it is smaller than the sum of its proper divisors (157651680).

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

64068000 is a wasteful number, since it uses less digits than its factorization.

64068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 64068000 is about 8004.2488716931. The cubic root of 64068000 is about 400.1416165227.

The spelling of 64068000 in words is "sixty-four million, sixty-eight thousand".