69530400 has 360 divisors, whose sum is σ = 269396820. Its totient is φ = 17418240.

The previous prime is 69530393. The next prime is 69530407. The reversal of 69530400 is 403596.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (69530393) and next prime (69530407).

It can be written as a sum of positive squares in 6 ways, for example, as 41525136 + 28005264 = 6444^2 + 5292^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (69530407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1879182 + ... + 1879218.

Almost surely, 2^69530400 is an apocalyptic number.

69530400 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 69530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134698410).

69530400 is an abundant number, since it is smaller than the sum of its proper divisors (199866420).

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

69530400 is a wasteful number, since it uses less digits than its factorization.

69530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 69530400 is about 8338.4890717683. The cubic root of 69530400 is about 411.2048635034.

Adding to 69530400 its reverse (403596), we get a palindrome (69933996).

The spelling of 69530400 in words is "sixty-nine million, five hundred thirty thousand, four hundred".