61924200 has 192 divisors, whose sum is σ = 219360960. Its totient is φ = 14315520.

The previous prime is 61924157. The next prime is 61924207. The reversal of 61924200 is 242916.

61924200 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 (24).

It is not an unprimeable number, because it can be changed into a prime (61924207) 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 47 ways as a sum of consecutive naturals, for example, 132367 + ... + 132833.

It is an arithmetic number, because the mean of its divisors is an integer number (1142505).

Almost surely, 2^61924200 is an apocalyptic number.

61924200 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 61924200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109680480).

61924200 is an abundant number, since it is smaller than the sum of its proper divisors (157436760).

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

61924200 is a wasteful number, since it uses less digits than its factorization.

61924200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 61924200 is about 7869.1930971352. The cubic root of 61924200 is about 395.6278004688.

The spelling of 61924200 in words is "sixty-one million, nine hundred twenty-four thousand, two hundred".