61301448 has 160 divisors (see below), whose sum is σ = 195148800. Its totient is φ = 17822592.

The previous prime is 61301441. The next prime is 61301459. The reversal of 61301448 is 84410316.

61301448 is a `hidden beast` number, since 613 + 0 + 1 + 4 + 48 = 666.

61301448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (61301441) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 159865 + ... + 160247.

It is an arithmetic number, because the mean of its divisors is an integer number (1219680).

Almost surely, 2^61301448 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 61301448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97574400).

61301448 is an abundant number, since it is smaller than the sum of its proper divisors (133847352).

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

61301448 is a wasteful number, since it uses less digits than its factorization.

61301448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 61301448 is about 7829.5241234701. The cubic root of 61301448 is about 394.2970952697.

The spelling of 61301448 in words is "sixty-one million, three hundred one thousand, four hundred forty-eight".