61845800 has 48 divisors (see below), whose sum is σ = 144633600. Its totient is φ = 24593600.

The previous prime is 61845787. The next prime is 61845803. The reversal of 61845800 is 854816.

It is not an unprimeable number, because it can be changed into a prime (61845803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37391 + ... + 39009.

It is an arithmetic number, because the mean of its divisors is an integer number (3013200).

Almost surely, 2^61845800 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 61845800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72316800).

61845800 is an abundant number, since it is smaller than the sum of its proper divisors (82787800).

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

61845800 is a wasteful number, since it uses less digits than its factorization.

61845800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 61845800 is about 7864.2100684048. The cubic root of 61845800 is about 395.4607665860.

The spelling of 61845800 in words is "sixty-one million, eight hundred forty-five thousand, eight hundred".