61740224 has 56 divisors (see below), whose sum is σ = 150802848. Its totient is φ = 24422400.

The previous prime is 61740223. The next prime is 61740229. The reversal of 61740224 is 42204716.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 61740193 and 61740202.

It is not an unprimeable number, because it can be changed into a prime (61740221) 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 7 ways as a sum of consecutive naturals, for example, 524 + ... + 11124.

It is an arithmetic number, because the mean of its divisors is an integer number (2692908).

Almost surely, 2^61740224 is an apocalyptic number.

61740224 is a gapful number since it is divisible by the number (64) 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 61740224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75401424).

61740224 is an abundant number, since it is smaller than the sum of its proper divisors (89062624).

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

61740224 is a wasteful number, since it uses less digits than its factorization.

61740224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10633 (or 10623 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 61740224 is about 7857.4947661453. The cubic root of 61740224 is about 395.2356101160.

The spelling of 61740224 in words is "sixty-one million, seven hundred forty thousand, two hundred twenty-four".