61616112 has 80 divisors (see below), whose sum is σ = 164989440. Its totient is φ = 19801600.

The previous prime is 61616101. The next prime is 61616123. The reversal of 61616112 is 21161616.

It is an interprime number because it is at equal distance from previous prime (61616101) and next prime (61616123).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257689 + ... + 257927.

It is an arithmetic number, because the mean of its divisors is an integer number (2062368).

Almost surely, 2^61616112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61616112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

61616112 is an abundant number, since it is smaller than the sum of its proper divisors (103373328).

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

61616112 is a wasteful number, since it uses less digits than its factorization.

61616112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 416 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 61616112 is about 7849.5931104739. The cubic root of 61616112 is about 394.9705944034.

Adding to 61616112 its reverse (21161616), we get a palindrome (82777728).

The spelling of 61616112 in words is "sixty-one million, six hundred sixteen thousand, one hundred twelve".