61577860 has 48 divisors (see below), whose sum is σ = 137269440. Its totient is φ = 23137920.

The previous prime is 61577851. The next prime is 61577861. The reversal of 61577860 is 6877516.

61577860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61577861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49162 + ... + 50398.

It is an arithmetic number, because the mean of its divisors is an integer number (2859780).

Almost surely, 2^61577860 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 61577860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68634720).

61577860 is an abundant number, since it is smaller than the sum of its proper divisors (75691580).

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

61577860 is a wasteful number, since it uses less digits than its factorization.

61577860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 61577860 is about 7847.1561727800. The cubic root of 61577860 is about 394.8888433686. Note that the first 4 decimals are identical.

The spelling of 61577860 in words is "sixty-one million, five hundred seventy-seven thousand, eight hundred sixty".