61605600 has 288 divisors, whose sum is σ = 242484480. Its totient is φ = 13271040.

The previous prime is 61605589. The next prime is 61605613. The reversal of 61605600 is 650616.

61605600 = T₂₅₃ + T₂₅₄ + ... + T₇₂₇.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319104 + ... + 319296.

It is an arithmetic number, because the mean of its divisors is an integer number (841960).

Almost surely, 2^61605600 is an apocalyptic number.

61605600 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 61605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121242240).

61605600 is an abundant number, since it is smaller than the sum of its proper divisors (180878880).

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

61605600 is a wasteful number, since it uses less digits than its factorization.

61605600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 61605600 is about 7848.9234930658. The cubic root of 61605600 is about 394.9481318424.

The spelling of 61605600 in words is "sixty-one million, six hundred five thousand, six hundred".