61230400 has 252 divisors, whose sum is σ = 193889376. Its totient is φ = 18816000.

The previous prime is 61230373. The next prime is 61230401. The reversal of 61230400 is 403216.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61230401) 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 35 ways as a sum of consecutive naturals, for example, 862365 + ... + 862435.

Almost surely, 2^61230400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96944688).

61230400 is an abundant number, since it is smaller than the sum of its proper divisors (132658976).

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

61230400 is a wasteful number, since it uses less digits than its factorization.

61230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 61230400 is about 7824.9856229900. The cubic root of 61230400 is about 394.1447070820.

Adding to 61230400 its reverse (403216), we get a palindrome (61633616).

The spelling of 61230400 in words is "sixty-one million, two hundred thirty thousand, four hundred".