61352400 has 240 divisors, whose sum is σ = 213111360. Its totient is φ = 15052800.

The previous prime is 61352383. The next prime is 61352407. The reversal of 61352400 is 425316.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61352407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1426779 + ... + 1426821.

It is an arithmetic number, because the mean of its divisors is an integer number (887964).

Almost surely, 2^61352400 is an apocalyptic number.

61352400 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 61352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106555680).

61352400 is an abundant number, since it is smaller than the sum of its proper divisors (151758960).

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

61352400 is a wasteful number, since it uses less digits than its factorization.

61352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 61352400 is about 7832.7772852290. Note that the first 3 decimals coincide. The cubic root of 61352400 is about 394.4063078178.

Adding to 61352400 its reverse (425316), we get a palindrome (61777716).

The spelling of 61352400 in words is "sixty-one million, three hundred fifty-two thousand, four hundred".