69328000 has 128 divisors (see below), whose sum is σ = 197308800. Its totient is φ = 23731200.

The previous prime is 69327983. The next prime is 69328001. The reversal of 69328000 is 82396.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 69328000.

It is not an unprimeable number, because it can be changed into a prime (69328001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111691 + ... + 112309.

It is an arithmetic number, because the mean of its divisors is an integer number (1541475).

Almost surely, 2^69328000 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 69328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98654400).

69328000 is an abundant number, since it is smaller than the sum of its proper divisors (127980800).

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

69328000 is an equidigital number, since it uses as much as digits as its factorization.

69328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 69328000 is about 8326.3437353979. The cubic root of 69328000 is about 410.8054758360.

The spelling of 69328000 in words is "sixty-nine million, three hundred twenty-eight thousand".