68288000 has 160 divisors (see below), whose sum is σ = 187675488. Its totient is φ = 24576000.

The previous prime is 68287993. The next prime is 68288021. The reversal of 68288000 is 88286.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703952 + ... + 704048.

Almost surely, 2^68288000 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 68288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93837744).

68288000 is an abundant number, since it is smaller than the sum of its proper divisors (119387488).

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

68288000 is an equidigital number, since it uses as much as digits as its factorization.

68288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 68288000 is about 8263.6553655147. The cubic root of 68288000 is about 408.7409322556.

The spelling of 68288000 in words is "sixty-eight million, two hundred eighty-eight thousand".