61548320 has 48 divisors (see below), whose sum is σ = 145991160. Its totient is φ = 24520704.

The previous prime is 61548307. The next prime is 61548337. The reversal of 61548320 is 2384516.

It can be written as a sum of positive squares in 4 ways, for example, as 48385936 + 13162384 = 6956^2 + 3628^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49466 + ... + 50694.

Almost surely, 2^61548320 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 61548320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72995580).

61548320 is an abundant number, since it is smaller than the sum of its proper divisors (84442840).

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

61548320 is a wasteful number, since it uses less digits than its factorization.

61548320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 61548320 is about 7845.2737364607. The cubic root of 61548320 is about 394.8256881900.

The spelling of 61548320 in words is "sixty-one million, five hundred forty-eight thousand, three hundred twenty".