61220544 has 224 divisors, whose sum is σ = 208922112. Its totient is φ = 15360000.

The previous prime is 61220543. The next prime is 61220569. The reversal of 61220544 is 44502216.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×61220544³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61220543) 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 31 ways as a sum of consecutive naturals, for example, 606094 + ... + 606194.

It is an arithmetic number, because the mean of its divisors is an integer number (932688).

Almost surely, 2^61220544 is an apocalyptic number.

61220544 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 61220544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104461056).

61220544 is an abundant number, since it is smaller than the sum of its proper divisors (147701568).

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

61220544 is a wasteful number, since it uses less digits than its factorization.

61220544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 61220544 is about 7824.3558201299. The cubic root of 61220544 is about 394.1235580085.

The spelling of 61220544 in words is "sixty-one million, two hundred twenty thousand, five hundred forty-four".