69120000 has 260 divisors, whose sum is σ = 255886840. Its totient is φ = 18432000.

The previous prime is 69119989. The next prime is 69120019. The reversal of 69120000 is 2196.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13823998 + ... + 13824002.

Almost surely, 2^69120000 is an apocalyptic number.

69120000 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 69120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127943420).

69120000 is an abundant number, since it is smaller than the sum of its proper divisors (186766840).

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

69120000 is an frugal number, since it uses more digits than its factorization.

69120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 69120000 is about 8313.8438763306. The cubic root of 69120000 is about 410.3942272024.

Multiplying 69120000 by its product of nonzero digits (108), we get a square (7464960000 = 86400²).

69120000 divided by its product of nonzero digits (108) gives a square (640000 = 800²).

Adding to 69120000 its reverse (2196), we get a palindrome (69122196).

The spelling of 69120000 in words is "sixty-nine million, one hundred twenty thousand".