61798752 has 72 divisors (see below), whose sum is σ = 177788520. Its totient is φ = 20359680.

The previous prime is 61798747. The next prime is 61798753. The reversal of 61798752 is 25789716.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 61798698 and 61798707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61798753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24427 + ... + 26837.

It is an arithmetic number, because the mean of its divisors is an integer number (2469285).

Almost surely, 2^61798752 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 61798752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88894260).

61798752 is an abundant number, since it is smaller than the sum of its proper divisors (115989768).

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

61798752 is a wasteful number, since it uses less digits than its factorization.

61798752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2505 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 61798752 is about 7861.2182262039. The cubic root of 61798752 is about 395.3604614287.

The spelling of 61798752 in words is "sixty-one million, seven hundred ninety-eight thousand, seven hundred fifty-two".