61600 has 72 divisors (see below), whose sum is σ = 187488. Its totient is φ = 19200.

The previous prime is 61583. The next prime is 61603. The reversal of 61600 is 616.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61603) by changing a digit.

61600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5595 + ... + 5605.

It is an arithmetic number, because the mean of its divisors is an integer number (2604).

2⁶¹⁶⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744).

61600 is an abundant number, since it is smaller than the sum of its proper divisors (125888).

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

61600 is a wasteful number, since it uses less digits than its factorization.

61600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 61600 is about 248.1934729198. The cubic root of 61600 is about 39.4936164442.

Multiplying 61600 by its reverse (616), we get a square (37945600 = 6160²).

61600 divided by its reverse (616) gives a square (100 = 10²).

The spelling of 61600 in words is "sixty-one thousand, six hundred".