69768000 has 448 divisors, whose sum is σ = 285292800. Its totient is φ = 16588800.

The previous prime is 69767989. The next prime is 69768001. The reversal of 69768000 is 86796.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69768001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3671991 + ... + 3672009.

Almost surely, 2^69768000 is an apocalyptic number.

69768000 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 69768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142646400).

69768000 is an abundant number, since it is smaller than the sum of its proper divisors (215524800).

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

69768000 is a wasteful number, since it uses less digits than its factorization.

69768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

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

The square root of 69768000 is about 8352.7241065415. The cubic root of 69768000 is about 411.6727221504.

The spelling of 69768000 in words is "sixty-nine million, seven hundred sixty-eight thousand".