61637112 has 80 divisors (see below), whose sum is σ = 175140240. Its totient is φ = 20248704.

The previous prime is 61637099. The next prime is 61637113. The reversal of 61637112 is 21173616.

61637112 is a `hidden beast` number, since 616 + 37 + 1 + 12 = 666.

61637112 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61637113) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 46653 + ... + 47955.

It is an arithmetic number, because the mean of its divisors is an integer number (2189253).

Almost surely, 2^61637112 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 61637112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87570120).

61637112 is an abundant number, since it is smaller than the sum of its proper divisors (113503128).

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

61637112 is a wasteful number, since it uses less digits than its factorization.

61637112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1381 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 61637112 is about 7850.9306454713. The cubic root of 61637112 is about 395.0154605923.

The spelling of 61637112 in words is "sixty-one million, six hundred thirty-seven thousand, one hundred twelve".