61866720 has 96 divisors (see below), whose sum is σ = 216548640. Its totient is φ = 16496640.

The previous prime is 61866719. The next prime is 61866743. The reversal of 61866720 is 2766816.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2841 + ... + 11480.

It is an arithmetic number, because the mean of its divisors is an integer number (2255715).

Almost surely, 2^61866720 is an apocalyptic number.

61866720 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 61866720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108274320).

61866720 is an abundant number, since it is smaller than the sum of its proper divisors (154681920).

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

61866720 is a wasteful number, since it uses less digits than its factorization.

61866720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14345 (or 14331 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 61866720 is about 7865.5400323182. The cubic root of 61866720 is about 395.5053511636.

The spelling of 61866720 in words is "sixty-one million, eight hundred sixty-six thousand, seven hundred twenty".