61323300 has 108 divisors (see below), whose sum is σ = 195540436. Its totient is φ = 16070400.

The previous prime is 61323299. The next prime is 61323329. The reversal of 61323300 is 332316.

It is a happy number.

61323300 is a `hidden beast` number, since 613 + 23 + 30 + 0 = 666.

61323300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 27311076 + 34012224 = 5226^2 + 5832^2 .

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 54342 + ... + 55458.

Almost surely, 2^61323300 is an apocalyptic number.

61323300 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 61323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97770218).

61323300 is an abundant number, since it is smaller than the sum of its proper divisors (134217136).

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

61323300 is a wasteful number, since it uses less digits than its factorization.

61323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 61323300 is about 7830.9194862417. The cubic root of 61323300 is about 394.3439411263.

Adding to 61323300 its reverse (332316), we get a palindrome (61655616).

The spelling of 61323300 in words is "sixty-one million, three hundred twenty-three thousand, three hundred".