61738056 has 48 divisors (see below), whose sum is σ = 169238160. Its totient is φ = 20329440.

The previous prime is 61738051. The next prime is 61738109. The reversal of 61738056 is 65083716.

61738056 is a `hidden beast` number, since 617 + 38 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61738056.

It is not an unprimeable number, because it can be changed into a prime (61738051) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 811 + ... + 11141.

It is an arithmetic number, because the mean of its divisors is an integer number (3525795).

Almost surely, 2^61738056 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 61738056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84619080).

61738056 is an abundant number, since it is smaller than the sum of its proper divisors (107500104).

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

61738056 is a wasteful number, since it uses less digits than its factorization.

61738056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10426 (or 10419 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 61738056 is about 7857.3568074767. The cubic root of 61738056 is about 395.2309838460.

The spelling of 61738056 in words is "sixty-one million, seven hundred thirty-eight thousand, fifty-six".