61555200 has 240 divisors, whose sum is σ = 233407680. Its totient is φ = 14008320.

The previous prime is 61555189. The next prime is 61555237. The reversal of 61555200 is 255516.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268686 + ... + 268914.

It is an arithmetic number, because the mean of its divisors is an integer number (972532).

Almost surely, 2^61555200 is an apocalyptic number.

61555200 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 61555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116703840).

61555200 is an abundant number, since it is smaller than the sum of its proper divisors (171852480).

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

61555200 is a wasteful number, since it uses less digits than its factorization.

61555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 61555200 is about 7845.7122047651. The cubic root of 61555200 is about 394.8403991224.

The spelling of 61555200 in words is "sixty-one million, five hundred fifty-five thousand, two hundred".