61216320 has 336 divisors, whose sum is σ = 233501184. Its totient is φ = 13516800.

The previous prime is 61216313. The next prime is 61216333. The reversal of 61216320 is 2361216.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1974705 + ... + 1974735.

It is an arithmetic number, because the mean of its divisors is an integer number (694944).

Almost surely, 2^61216320 is an apocalyptic number.

61216320 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 61216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116750592).

61216320 is an abundant number, since it is smaller than the sum of its proper divisors (172284864).

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

61216320 is a wasteful number, since it uses less digits than its factorization.

61216320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 61216320 is about 7824.0858890991. The cubic root of 61216320 is about 394.1144934250.

Adding to 61216320 its reverse (2361216), we get a palindrome (63577536).

The spelling of 61216320 in words is "sixty-one million, two hundred sixteen thousand, three hundred twenty".