61488408 has 96 divisors (see below), whose sum is σ = 166786560. Its totient is φ = 18878400.

The previous prime is 61488403. The next prime is 61488431. The reversal of 61488408 is 80488416.

61488408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61488403) 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 23 ways as a sum of consecutive naturals, for example, 407133 + ... + 407283.

It is an arithmetic number, because the mean of its divisors is an integer number (1737360).

Almost surely, 2^61488408 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 61488408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83393280).

61488408 is an abundant number, since it is smaller than the sum of its proper divisors (105298152).

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

61488408 is a wasteful number, since it uses less digits than its factorization.

61488408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 61488408 is about 7841.4544569232. The cubic root of 61488408 is about 394.6975369744.

The spelling of 61488408 in words is "sixty-one million, four hundred eighty-eight thousand, four hundred eight".