61480320 has 256 divisors, whose sum is σ = 222082560. Its totient is φ = 14336000.

The previous prime is 61480303. The next prime is 61480327. The reversal of 61480320 is 2308416.

It is a happy number.

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 (61480327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 865885 + ... + 865955.

It is an arithmetic number, because the mean of its divisors is an integer number (867510).

Almost surely, 2^61480320 is an apocalyptic number.

61480320 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 61480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111041280).

61480320 is an abundant number, since it is smaller than the sum of its proper divisors (160602240).

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

61480320 is a wasteful number, since it uses less digits than its factorization.

61480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

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

The square root of 61480320 is about 7840.9387193116. The cubic root of 61480320 is about 394.6802304404.

Adding to 61480320 its reverse (2308416), we get a palindrome (63788736).

The spelling of 61480320 in words is "sixty-one million, four hundred eighty thousand, three hundred twenty".