61350300 has 108 divisors (see below), whose sum is σ = 209814696. Its totient is φ = 14870400.

The previous prime is 61350287. The next prime is 61350301. The reversal of 61350300 is 305316.

61350300 is a `hidden beast` number, since 613 + 50 + 3 + 0 + 0 = 666.

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 (61350301) 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, 6802 + ... + 12998.

Almost surely, 2^61350300 is an apocalyptic number.

61350300 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 61350300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104907348).

61350300 is an abundant number, since it is smaller than the sum of its proper divisors (148464396).

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

61350300 is a wasteful number, since it uses less digits than its factorization.

61350300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6228 (or 6218 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 61350300 is about 7832.6432320131. The cubic root of 61350300 is about 394.4018077890.

Adding to 61350300 its reverse (305316), we get a palindrome (61655616).

The spelling of 61350300 in words is "sixty-one million, three hundred fifty thousand, three hundred".