61695920 has 80 divisors (see below), whose sum is σ = 168551712. Its totient is φ = 20705280.

The previous prime is 61695911. The next prime is 61695923. The reversal of 61695920 is 2959616.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (61695923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8744 + ... + 14136.

Almost surely, 2^61695920 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 61695920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84275856).

61695920 is an abundant number, since it is smaller than the sum of its proper divisors (106855792).

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

61695920 is a wasteful number, since it uses less digits than its factorization.

61695920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5430 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 61695920 is about 7854.6750410186. The cubic root of 61695920 is about 395.1410488103.

The spelling of 61695920 in words is "sixty-one million, six hundred ninety-five thousand, nine hundred twenty".