61414200 has 240 divisors, whose sum is σ = 226860480. Its totient is φ = 15344640.

The previous prime is 61414123. The next prime is 61414201. The reversal of 61414200 is 241416.

61414200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61414201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 275289 + ... + 275511.

It is an arithmetic number, because the mean of its divisors is an integer number (945252).

Almost surely, 2^61414200 is an apocalyptic number.

61414200 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 61414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113430240).

61414200 is an abundant number, since it is smaller than the sum of its proper divisors (165446280).

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

61414200 is a wasteful number, since it uses less digits than its factorization.

61414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 61414200 is about 7836.7212531772. The cubic root of 61414200 is about 394.5386912853.

Adding to 61414200 its reverse (241416), we get a palindrome (61655616).

The spelling of 61414200 in words is "sixty-one million, four hundred fourteen thousand, two hundred".