61982720 has 48 divisors (see below), whose sum is σ = 148746780. Its totient is φ = 24788992.

The previous prime is 61982681. The next prime is 61982759. The reversal of 61982720 is 2728916.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61982681) and next prime (61982759).

It can be written as a sum of positive squares in 2 ways, for example, as 55591936 + 6390784 = 7456^2 + 2528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7214 + ... + 13266.

Almost surely, 2^61982720 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 61982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74373390).

61982720 is an abundant number, since it is smaller than the sum of its proper divisors (86764060).

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

61982720 is an equidigital number, since it uses as much as digits as its factorization.

61982720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6080 (or 6060 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 61982720 is about 7872.9105164482. The cubic root of 61982720 is about 395.7523874617.

The spelling of 61982720 in words is "sixty-one million, nine hundred eighty-two thousand, seven hundred twenty".