61527648 has 96 divisors (see below), whose sum is σ = 198809856. Its totient is φ = 16224768.

The previous prime is 61527637. The next prime is 61527671. The reversal of 61527648 is 84672516.

61527648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5215 + ... + 12257.

It is an arithmetic number, because the mean of its divisors is an integer number (2070936).

Almost surely, 2^61527648 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 61527648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99404928).

61527648 is an abundant number, since it is smaller than the sum of its proper divisors (137282208).

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

61527648 is a wasteful number, since it uses less digits than its factorization.

61527648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7076 (or 7068 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 61527648 is about 7843.9561447015. The cubic root of 61527648 is about 394.7814803732.

The spelling of 61527648 in words is "sixty-one million, five hundred twenty-seven thousand, six hundred forty-eight".