61448448 has 144 divisors (see below), whose sum is σ = 176601600. Its totient is φ = 18923520.

The previous prime is 61448377. The next prime is 61448449. The reversal of 61448448 is 84484416.

It is a nude number because it is divisible by every one of its digits.

61448448 is a modest number, since divided by 8448 gives 6144 as remainder.

It is not an unprimeable number, because it can be changed into a prime (61448449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 690388 + ... + 690476.

It is an arithmetic number, because the mean of its divisors is an integer number (1226400).

Almost surely, 2^61448448 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 61448448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88300800).

61448448 is an abundant number, since it is smaller than the sum of its proper divisors (115153152).

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

61448448 is a wasteful number, since it uses less digits than its factorization.

61448448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 61448448 is about 7838.9060461266. The cubic root of 61448448 is about 394.6120166192.

The spelling of 61448448 in words is "sixty-one million, four hundred forty-eight thousand, four hundred forty-eight".