61673136 has 120 divisors (see below), whose sum is σ = 189130752. Its totient is φ = 16963200.

The previous prime is 61673123. The next prime is 61673147. The reversal of 61673136 is 63137616.

61673136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 61673097 and 61673106.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 322801 + ... + 322991.

Almost surely, 2^61673136 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 61673136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94565376).

61673136 is an abundant number, since it is smaller than the sum of its proper divisors (127457616).

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

61673136 is a wasteful number, since it uses less digits than its factorization.

61673136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 234 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 61673136 is about 7853.2245606502. The cubic root of 61673136 is about 395.0924016058.

The spelling of 61673136 in words is "sixty-one million, six hundred seventy-three thousand, one hundred thirty-six".