61436544 has 128 divisors (see below), whose sum is σ = 181870080. Its totient is φ = 18247680.

The previous prime is 61436509. The next prime is 61436561. The reversal of 61436544 is 44563416.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 154554 + ... + 154950.

It is an arithmetic number, because the mean of its divisors is an integer number (1420860).

Almost surely, 2^61436544 is an apocalyptic number.

61436544 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 61436544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90935040).

61436544 is an abundant number, since it is smaller than the sum of its proper divisors (120433536).

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

61436544 is a wasteful number, since it uses less digits than its factorization.

61436544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 446 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 61436544 is about 7838.1467197291. The cubic root of 61436544 is about 394.5865331179.

The spelling of 61436544 in words is "sixty-one million, four hundred thirty-six thousand, five hundred forty-four".