61616544 has 192 divisors, whose sum is σ = 193052160. Its totient is φ = 17003520.

The previous prime is 61616543. The next prime is 61616567. The reversal of 61616544 is 44561616.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61616543) 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, 742327 + ... + 742409.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^61616544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61616544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96526080).

61616544 is an abundant number, since it is smaller than the sum of its proper divisors (131435616).

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

61616544 is a wasteful number, since it uses less digits than its factorization.

61616544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 61616544 is about 7849.6206277756. The cubic root of 61616544 is about 394.9715174677.

It can be divided in two parts, 61 and 616544, that added together give a triangular number (616605 = T₁₁₁₀).

The spelling of 61616544 in words is "sixty-one million, six hundred sixteen thousand, five hundred forty-four".