61855200 has 324 divisors, whose sum is σ = 243125064. Its totient is φ = 14784000.

The previous prime is 61855193. The next prime is 61855201. The reversal of 61855200 is 255816.

61855200 is a `hidden beast` number, since 61 + 85 + 520 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61855201) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 871165 + ... + 871235.

It is an arithmetic number, because the mean of its divisors is an integer number (750386).

Almost surely, 2^61855200 is an apocalyptic number.

61855200 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 61855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121562532).

61855200 is an abundant number, since it is smaller than the sum of its proper divisors (181269864).

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

61855200 is a wasteful number, since it uses less digits than its factorization.

61855200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 61855200 is about 7864.8076899566. The cubic root of 61855200 is about 395.4808010529.

The spelling of 61855200 in words is "sixty-one million, eight hundred fifty-five thousand, two hundred".