61967120 has 20 divisors (see below), whose sum is σ = 144073740. Its totient is φ = 24786816.

The previous prime is 61967117. The next prime is 61967153. The reversal of 61967120 is 2176916.

It is a happy number.

61967120 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 41319184 + 20647936 = 6428^2 + 4544^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×61967120² = 7679847922188800, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 387215 + ... + 387374.

It is an arithmetic number, because the mean of its divisors is an integer number (7203687).

Almost surely, 2^61967120 is an apocalyptic number.

It is an amenable number.

61967120 is an abundant number, since it is smaller than the sum of its proper divisors (82106620).

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

61967120 is a wasteful number, since it uses less digits than its factorization.

61967120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774602 (or 774596 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 61967120 is about 7871.9197150377. The cubic root of 61967120 is about 395.7191832866.

The spelling of 61967120 in words is "sixty-one million, nine hundred sixty-seven thousand, one hundred twenty".