61953216 has 56 divisors (see below), whose sum is σ = 176534064. Its totient is φ = 19061760.

The previous prime is 61953211. The next prime is 61953217. The reversal of 61953216 is 61235916.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (61953211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9915 + ... + 14906.

It is an arithmetic number, because the mean of its divisors is an integer number (3152394).

Almost surely, 2^61953216 is an apocalyptic number.

It is an amenable number.

61953216 is an abundant number, since it is smaller than the sum of its proper divisors (114580848).

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

61953216 is a wasteful number, since it uses less digits than its factorization.

61953216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24849 (or 24839 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 61953216 is about 7871.0365264049. The cubic root of 61953216 is about 395.6895843042.

It can be divided in two parts, 619 and 53216, that added together give a palindrome (53835).

The spelling of 61953216 in words is "sixty-one million, nine hundred fifty-three thousand, two hundred sixteen".