69225600 has 96 divisors (see below), whose sum is σ = 228043440. Its totient is φ = 18457600.

The previous prime is 69225587. The next prime is 69225601. The reversal of 69225600 is 652296.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (69225601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5995 + ... + 13205.

Almost surely, 2^69225600 is an apocalyptic number.

69225600 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 69225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114021720).

69225600 is an abundant number, since it is smaller than the sum of its proper divisors (158817840).

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

69225600 is a wasteful number, since it uses less digits than its factorization.

69225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7238 (or 7221 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 69225600 is about 8320.1923054699. The cubic root of 69225600 is about 410.6031179191.

Adding to 69225600 its reverse (652296), we get a palindrome (69877896).

It can be divided in two parts, 6 and 9225600, that multiplied together give a square (55353600 = 7440²).

The spelling of 69225600 in words is "sixty-nine million, two hundred twenty-five thousand, six hundred".