61961920 has 56 divisors (see below), whose sum is σ = 148370544. Its totient is φ = 24646656.

The previous prime is 61961897. The next prime is 61961927. The reversal of 61961920 is 2916916.

61961920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (61961927) 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 7 ways as a sum of consecutive naturals, for example, 72214 + ... + 73066.

It is an arithmetic number, because the mean of its divisors is an integer number (2649474).

Almost surely, 2^61961920 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 61961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74185272).

61961920 is an abundant number, since it is smaller than the sum of its proper divisors (86408624).

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

61961920 is a wasteful number, since it uses less digits than its factorization.

61961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 61961920 is about 7871.5894201870. The cubic root of 61961920 is about 395.7081139899.

The spelling of 61961920 in words is "sixty-one million, nine hundred sixty-one thousand, nine hundred twenty".