61426200 has 192 divisors, whose sum is σ = 213736320. Its totient is φ = 14464000.

The previous prime is 61426199. The next prime is 61426201. The reversal of 61426200 is 262416.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61426199) and next prime (61426201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61426201) 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, 270487 + ... + 270713.

It is an arithmetic number, because the mean of its divisors is an integer number (1113210).

Almost surely, 2^61426200 is an apocalyptic number.

61426200 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 61426200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

61426200 is an abundant number, since it is smaller than the sum of its proper divisors (152310120).

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

61426200 is a wasteful number, since it uses less digits than its factorization.

61426200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 61426200 is about 7837.4868420942. The cubic root of 61426200 is about 394.5643865152.

Adding to 61426200 its reverse (262416), we get a palindrome (61688616).

The spelling of 61426200 in words is "sixty-one million, four hundred twenty-six thousand, two hundred".