61318320 has 320 divisors, whose sum is σ = 244270080. Its totient is φ = 12386304.

The previous prime is 61318307. The next prime is 61318343. The reversal of 61318320 is 2381316.

61318320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 542584 + ... + 542696.

It is an arithmetic number, because the mean of its divisors is an integer number (763344).

Almost surely, 2^61318320 is an apocalyptic number.

61318320 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 61318320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122135040).

61318320 is an abundant number, since it is smaller than the sum of its proper divisors (182951760).

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

61318320 is a wasteful number, since it uses less digits than its factorization.

61318320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 61318320 is about 7830.6015094627. The cubic root of 61318320 is about 394.3332660866. Note that the first 3 decimals are identical.

61318320 divided by its sum of digits (24) gives a triangular number (2554930 = T₂₂₆₀).

Adding to 61318320 its reverse (2381316), we get a palindrome (63699636).

The spelling of 61318320 in words is "sixty-one million, three hundred eighteen thousand, three hundred twenty".