61790736 has 80 divisors (see below), whose sum is σ = 192051200. Its totient is φ = 16723584.

The previous prime is 61790723. The next prime is 61790737. The reversal of 61790736 is 63709716.

61790736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 61790694 and 61790703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61790737) 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, 1545 + ... + 11223.

It is an arithmetic number, because the mean of its divisors is an integer number (2400640).

Almost surely, 2^61790736 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 61790736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96025600).

61790736 is an abundant number, since it is smaller than the sum of its proper divisors (130260464).

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

61790736 is a wasteful number, since it uses less digits than its factorization.

61790736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9716 (or 9710 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 61790736 is about 7860.7083650267. The cubic root of 61790736 is about 395.3433664421.

It can be divided in two parts, 61790 and 736, that added together give a palindrome (62526).

The spelling of 61790736 in words is "sixty-one million, seven hundred ninety thousand, seven hundred thirty-six".