61057700 has 72 divisors (see below), whose sum is σ = 147740544. Its totient is φ = 21712000.

The previous prime is 61057699. The next prime is 61057729. The reversal of 61057700 is 775016.

61057700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 61057700.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 51110 + ... + 52290.

It is an arithmetic number, because the mean of its divisors is an integer number (2051952).

Almost surely, 2^61057700 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 61057700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73870272).

61057700 is an abundant number, since it is smaller than the sum of its proper divisors (86682844).

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

61057700 is a wasteful number, since it uses less digits than its factorization.

61057700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 61057700 is about 7813.9426667976. The cubic root of 61057700 is about 393.7737971676.

The spelling of 61057700 in words is "sixty-one million, fifty-seven thousand, seven hundred".