61048320 has 80 divisors (see below), whose sum is σ = 195188400. Its totient is φ = 16277504.

The previous prime is 61048319. The next prime is 61048327. The reversal of 61048320 is 2384016.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61048327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3706 + ... + 11654.

It is an arithmetic number, because the mean of its divisors is an integer number (2439855).

Almost surely, 2^61048320 is an apocalyptic number.

61048320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97594200).

61048320 is an abundant number, since it is smaller than the sum of its proper divisors (134140080).

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

61048320 is an equidigital number, since it uses as much as digits as its factorization.

61048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7975 (or 7959 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 61048320 is about 7813.3424345795. The cubic root of 61048320 is about 393.7536316118.

The spelling of 61048320 in words is "sixty-one million, forty-eight thousand, three hundred twenty".