61765044 has 48 divisors (see below), whose sum is σ = 159237120. Its totient is φ = 18476640.

The previous prime is 61765037. The next prime is 61765049. The reversal of 61765044 is 44056716.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 61764996 and 61765014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61765049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7467 + ... + 13389.

It is an arithmetic number, because the mean of its divisors is an integer number (3317440).

Almost surely, 2^61765044 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 61765044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79618560).

61765044 is an abundant number, since it is smaller than the sum of its proper divisors (97472076).

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

61765044 is a wasteful number, since it uses less digits than its factorization.

61765044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6020 (or 6018 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 61765044 is about 7859.0739912537. The cubic root of 61765044 is about 395.2885655097.

The spelling of 61765044 in words is "sixty-one million, seven hundred sixty-five thousand, forty-four".