61767936 has 216 divisors, whose sum is σ = 200884320. Its totient is φ = 18137088.

The previous prime is 61767931. The next prime is 61767943. The reversal of 61767936 is 63976716.

It is a junction number, because it is equal to n+sod(n) for n = 61767891 and 61767900.

It is not an unprimeable number, because it can be changed into a prime (61767931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 744151 + ... + 744233.

It is an arithmetic number, because the mean of its divisors is an integer number (930020).

Almost surely, 2^61767936 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 61767936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100442160).

61767936 is an abundant number, since it is smaller than the sum of its proper divisors (139116384).

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

61767936 is a wasteful number, since it uses less digits than its factorization.

61767936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 61767936 is about 7859.2579802422. The cubic root of 61767936 is about 395.2947348930.

The spelling of 61767936 in words is "sixty-one million, seven hundred sixty-seven thousand, nine hundred thirty-six".