61192800 has 144 divisors (see below), whose sum is σ = 221392080. Its totient is φ = 16312320.

The previous prime is 61192799. The next prime is 61192801. The reversal of 61192800 is 829116.

61192800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61192799) and next prime (61192801).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61192801) 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 23 ways as a sum of consecutive naturals, for example, 20184 + ... + 23016.

It is an arithmetic number, because the mean of its divisors is an integer number (1537445).

Almost surely, 2^61192800 is an apocalyptic number.

61192800 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 61192800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110696040).

61192800 is an abundant number, since it is smaller than the sum of its proper divisors (160199280).

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

61192800 is a wasteful number, since it uses less digits than its factorization.

61192800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 61192800 is about 7822.5826937144. The cubic root of 61192800 is about 394.0640125494.

The spelling of 61192800 in words is "sixty-one million, one hundred ninety-two thousand, eight hundred".