61432400 has 60 divisors (see below), whose sum is σ = 149051100. Its totient is φ = 24330240.

The previous prime is 61432369. The next prime is 61432409. The reversal of 61432400 is 423416.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8317456 + 53114944 = 2884^2 + 7288^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61432409) 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 11 ways as a sum of consecutive naturals, for example, 42896 + ... + 44304.

It is an arithmetic number, because the mean of its divisors is an integer number (2484185).

Almost surely, 2^61432400 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 61432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74525550).

61432400 is an abundant number, since it is smaller than the sum of its proper divisors (87618700).

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

61432400 is a wasteful number, since it uses less digits than its factorization.

61432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 61432400 is about 7837.8823670683. The cubic root of 61432400 is about 394.5776610729.

Adding to 61432400 its reverse (423416), we get a palindrome (61855816).

The spelling of 61432400 in words is "sixty-one million, four hundred thirty-two thousand, four hundred".