61224480 has 288 divisors, whose sum is σ = 230329008. Its totient is φ = 14745600.

The previous prime is 61224467. The next prime is 61224523. The reversal of 61224480 is 8442216.

61224480 is a `hidden beast` number, since 612 + 2 + 4 + 48 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4613904 + 56610576 = 2148^2 + 7524^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1003650 + ... + 1003710.

Almost surely, 2^61224480 is an apocalyptic number.

61224480 is a gapful number since it is divisible by the number (60) 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 61224480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115164504).

61224480 is an abundant number, since it is smaller than the sum of its proper divisors (169104528).

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

61224480 is a wasteful number, since it uses less digits than its factorization.

61224480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 61224480 is about 7824.6073383909. The cubic root of 61224480 is about 394.1320041769.

Adding to 61224480 its reverse (8442216), we get a palindrome (69666696).

The spelling of 61224480 in words is "sixty-one million, two hundred twenty-four thousand, four hundred eighty".