61974720 has 168 divisors, whose sum is σ = 221339664. Its totient is φ = 16505856.

The previous prime is 61974697. The next prime is 61974727. The reversal of 61974720 is 2747916.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (61974727) 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 23 ways as a sum of consecutive naturals, for example, 77362 + ... + 78158.

It is an arithmetic number, because the mean of its divisors is an integer number (1317498).

Almost surely, 2^61974720 is an apocalyptic number.

61974720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110669832).

61974720 is an abundant number, since it is smaller than the sum of its proper divisors (159364944).

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

61974720 is an equidigital number, since it uses as much as digits as its factorization.

61974720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 61974720 is about 7872.4024287380. The cubic root of 61974720 is about 395.7353603756.

The spelling of 61974720 in words is "sixty-one million, nine hundred seventy-four thousand, seven hundred twenty".