61808544 has 288 divisors, whose sum is σ = 221405184. Its totient is φ = 15966720.

The previous prime is 61808531. The next prime is 61808597. The reversal of 61808544 is 44580816.

61808544 = 1397² + 1398² + ... + 1427².

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×61808544² = 7640592222799872, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 61808499 and 61808508.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1437387 + ... + 1437429.

It is an arithmetic number, because the mean of its divisors is an integer number (768768).

Almost surely, 2^61808544 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 61808544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110702592).

61808544 is an abundant number, since it is smaller than the sum of its proper divisors (159596640).

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

61808544 is a wasteful number, since it uses less digits than its factorization.

61808544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 61808544 is about 7861.8410057696. The cubic root of 61808544 is about 395.3813419214.

The spelling of 61808544 in words is "sixty-one million, eight hundred eight thousand, five hundred forty-four".