61968720 has 80 divisors (see below), whose sum is σ = 209575872. Its totient is φ = 15022080.

The previous prime is 61968707. The next prime is 61968733. The reversal of 61968720 is 2786916.

It is an interprime number because it is at equal distance from previous prime (61968707) and next prime (61968733).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9097 + ... + 14376.

Almost surely, 2^61968720 is an apocalyptic number.

61968720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61968720 is an abundant number, since it is smaller than the sum of its proper divisors (147607152).

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

61968720 is a wasteful number, since it uses less digits than its factorization.

61968720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23500 (or 23494 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 61968720 is about 7872.0213414345. The cubic root of 61968720 is about 395.7225890995.

The spelling of 61968720 in words is "sixty-one million, nine hundred sixty-eight thousand, seven hundred twenty".