61304448 has 64 divisors (see below), whose sum is σ = 172437120. Its totient is φ = 19230720.

The previous prime is 61304437. The next prime is 61304459. The reversal of 61304448 is 84440316.

61304448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61304437) and next prime (61304459).

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 1833 + ... + 11223.

It is an arithmetic number, because the mean of its divisors is an integer number (2694330).

Almost surely, 2^61304448 is an apocalyptic number.

61304448 is a gapful number since it is divisible by the number (68) 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 61304448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86218560).

61304448 is an abundant number, since it is smaller than the sum of its proper divisors (111132672).

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

61304448 is a wasteful number, since it uses less digits than its factorization.

61304448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9425 (or 9413 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 61304448 is about 7829.7157036511. The cubic root of 61304448 is about 394.3035272656.

The spelling of 61304448 in words is "sixty-one million, three hundred four thousand, four hundred forty-eight".