61616384 has 36 divisors (see below), whose sum is σ = 123639516. Its totient is φ = 30646272.

The previous prime is 61616383. The next prime is 61616393. The reversal of 61616384 is 48361616.

It can be written as a sum of positive squares in 2 ways, for example, as 39337984 + 22278400 = 6272^2 + 4720^2 .

It is a super-3 number, since 3×61616384³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (61616383) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59132 + ... + 60164.

It is an arithmetic number, because the mean of its divisors is an integer number (3434431).

Almost surely, 2^61616384 is an apocalyptic number.

61616384 is a gapful number since it is divisible by the number (64) 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 61616384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61819758).

61616384 is an abundant number, since it is smaller than the sum of its proper divisors (62023132).

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

61616384 is a wasteful number, since it uses less digits than its factorization.

61616384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1268 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 61616384 is about 7849.6104361936. The cubic root of 61616384 is about 394.9711755925.

The spelling of 61616384 in words is "sixty-one million, six hundred sixteen thousand, three hundred eighty-four".