61232400 has 180 divisors, whose sum is σ = 216328788. Its totient is φ = 16035840.

The previous prime is 61232389. The next prime is 61232441. The reversal of 61232400 is 423216.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4260096 + 56972304 = 2064^2 + 7548^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 262684 + ... + 262916.

Almost surely, 2^61232400 is an apocalyptic number.

61232400 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 61232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108164394).

61232400 is an abundant number, since it is smaller than the sum of its proper divisors (155096388).

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

61232400 is a wasteful number, since it uses less digits than its factorization.

61232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 61232400 is about 7825.1134177084. The cubic root of 61232400 is about 394.1489984189.

Adding to 61232400 its reverse (423216), we get a palindrome (61655616).

The spelling of 61232400 in words is "sixty-one million, two hundred thirty-two thousand, four hundred".