61944720 has 80 divisors (see below), whose sum is σ = 193142400. Its totient is φ = 16422912.

The previous prime is 61944713. The next prime is 61944739. The reversal of 61944720 is 2744916.

It is a happy number.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47112 + ... + 48408.

It is an arithmetic number, because the mean of its divisors is an integer number (2414280).

Almost surely, 2^61944720 is an apocalyptic number.

61944720 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 61944720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96571200).

61944720 is an abundant number, since it is smaller than the sum of its proper divisors (131197680).

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

61944720 is a wasteful number, since it uses less digits than its factorization.

61944720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 61944720 is about 7870.4968076990. The cubic root of 61944720 is about 395.6714957495.

The spelling of 61944720 in words is "sixty-one million, nine hundred forty-four thousand, seven hundred twenty".