61330320 has 120 divisors (see below), whose sum is σ = 208218816. Its totient is φ = 16176384.

The previous prime is 61330261. The next prime is 61330327. The reversal of 61330320 is 2303316.

It is a happy number.

61330320 is a `hidden beast` number, since 613 + 30 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×61330320² = 7522816302604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 61330293 and 61330302.

It is not an unprimeable number, because it can be changed into a prime (61330327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73747 + ... + 74573.

Almost surely, 2^61330320 is an apocalyptic number.

61330320 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 61330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104109408).

61330320 is an abundant number, since it is smaller than the sum of its proper divisors (146888496).

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

61330320 is a wasteful number, since it uses less digits than its factorization.

61330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 61330320 is about 7831.3676966415. The cubic root of 61330320 is about 394.3589880923.

Adding to 61330320 its reverse (2303316), we get a palindrome (63633636).

The spelling of 61330320 in words is "sixty-one million, three hundred thirty thousand, three hundred twenty".